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Finding the Fourth Proportional to 23,807.40, 35,711.10 and 14,591.40

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Solution

The fourth proportional to 23,807.40, 35,711.10 and 14,591.40 is: 21,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.40 : 35,711.10 = 14,591.40 : x
  2. Step 2: Convert to fraction form
    23,807.40/35,711.10 = 14,591.40/x
  3. Step 3: Cross multiply
    23,807.40x = 35,711.10 × 14,591.40
  4. Step 4: Simplify right side
    23,807.40x = 521,074,944.54
  5. Step 5: Solve for x
    x = 521,074,944.54/23,807.40
  6. Step 6: Final answer
    x = 21,887.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.