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Finding the Fourth Proportional to 16,572.40, 22,878.38 and 12,787.07

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Solution

The fourth proportional to 16,572.40, 22,878.38 and 12,787.07 is: 17,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,572.40 : 22,878.38 = 12,787.07 : x
  2. Step 2: Convert to fraction form
    16,572.40/22,878.38 = 12,787.07/x
  3. Step 3: Cross multiply
    16,572.40x = 22,878.38 × 12,787.07
  4. Step 4: Simplify right side
    16,572.40x = 292,547,364.12
  5. Step 5: Solve for x
    x = 292,547,364.12/16,572.40
  6. Step 6: Final answer
    x = 17,652.69

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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.