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Finding the Fourth Proportional to 29,409.96, 40,585.56 and 15,981

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Solution

The fourth proportional to 29,409.96, 40,585.56 and 15,981 is: 22,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,409.96 : 40,585.56 = 15,981 : x
  2. Step 2: Convert to fraction form
    29,409.96/40,585.56 = 15,981/x
  3. Step 3: Cross multiply
    29,409.96x = 40,585.56 × 15,981
  4. Step 4: Simplify right side
    29,409.96x = 648,597,834.36
  5. Step 5: Solve for x
    x = 648,597,834.36/29,409.96
  6. Step 6: Final answer
    x = 22,053.68

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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.