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Finding the Fourth Proportional to 29,298.71, 40,431.76 and 15,869.93

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Solution

The fourth proportional to 29,298.71, 40,431.76 and 15,869.93 is: 21,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,298.71 : 40,431.76 = 15,869.93 : x
  2. Step 2: Convert to fraction form
    29,298.71/40,431.76 = 15,869.93/x
  3. Step 3: Cross multiply
    29,298.71x = 40,431.76 × 15,869.93
  4. Step 4: Simplify right side
    29,298.71x = 641,648,959.14
  5. Step 5: Solve for x
    x = 641,648,959.14/29,298.71
  6. Step 6: Final answer
    x = 21,900.24

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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.