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Finding the Fourth Proportional to 22,877.04, 31,569.96 and 12,805.32

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Solution

The fourth proportional to 22,877.04, 31,569.96 and 12,805.32 is: 17,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.04 : 31,569.96 = 12,805.32 : x
  2. Step 2: Convert to fraction form
    22,877.04/31,569.96 = 12,805.32/x
  3. Step 3: Cross multiply
    22,877.04x = 31,569.96 × 12,805.32
  4. Step 4: Simplify right side
    22,877.04x = 404,263,440.19
  5. Step 5: Solve for x
    x = 404,263,440.19/22,877.04
  6. Step 6: Final answer
    x = 17,671.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.