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Finding the Fourth Proportional to 29,117.87, 40,184.13 and 17,785.53

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Solution

The fourth proportional to 29,117.87, 40,184.13 and 17,785.53 is: 24,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,117.87 : 40,184.13 = 17,785.53 : x
  2. Step 2: Convert to fraction form
    29,117.87/40,184.13 = 17,785.53/x
  3. Step 3: Cross multiply
    29,117.87x = 40,184.13 × 17,785.53
  4. Step 4: Simplify right side
    29,117.87x = 714,696,049.64
  5. Step 5: Solve for x
    x = 714,696,049.64/29,117.87
  6. Step 6: Final answer
    x = 24,544.93

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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.