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Finding the Fourth Proportional to 21,400.68, 29,543.04 and 16,097.52

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Solution

The fourth proportional to 21,400.68, 29,543.04 and 16,097.52 is: 22,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.68 : 29,543.04 = 16,097.52 : x
  2. Step 2: Convert to fraction form
    21,400.68/29,543.04 = 16,097.52/x
  3. Step 3: Cross multiply
    21,400.68x = 29,543.04 × 16,097.52
  4. Step 4: Simplify right side
    21,400.68x = 475,569,677.26
  5. Step 5: Solve for x
    x = 475,569,677.26/21,400.68
  6. Step 6: Final answer
    x = 22,222.18

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