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Finding the Fourth Proportional to 26,208, 36,167.04 and 14,432

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Solution

The fourth proportional to 26,208, 36,167.04 and 14,432 is: 19,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,208 : 36,167.04 = 14,432 : x
  2. Step 2: Convert to fraction form
    26,208/36,167.04 = 14,432/x
  3. Step 3: Cross multiply
    26,208x = 36,167.04 × 14,432
  4. Step 4: Simplify right side
    26,208x = 521,962,721.28
  5. Step 5: Solve for x
    x = 521,962,721.28/26,208
  6. Step 6: Final answer
    x = 19,916.16

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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.