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Finding the Fourth Proportional to 22,604.30, 31,194.08 and 12,532.11

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Solution

The fourth proportional to 22,604.30, 31,194.08 and 12,532.11 is: 17,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.30 : 31,194.08 = 12,532.11 : x
  2. Step 2: Convert to fraction form
    22,604.30/31,194.08 = 12,532.11/x
  3. Step 3: Cross multiply
    22,604.30x = 31,194.08 × 12,532.11
  4. Step 4: Simplify right side
    22,604.30x = 390,927,641.91
  5. Step 5: Solve for x
    x = 390,927,641.91/22,604.30
  6. Step 6: Final answer
    x = 17,294.39

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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.