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Finding the Fourth Proportional to 24,711.17, 37,071.39 and 9,921.24

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Solution

The fourth proportional to 24,711.17, 37,071.39 and 9,921.24 is: 14,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.17 : 37,071.39 = 9,921.24 : x
  2. Step 2: Convert to fraction form
    24,711.17/37,071.39 = 9,921.24/x
  3. Step 3: Cross multiply
    24,711.17x = 37,071.39 × 9,921.24
  4. Step 4: Simplify right side
    24,711.17x = 367,794,157.32
  5. Step 5: Solve for x
    x = 367,794,157.32/24,711.17
  6. Step 6: Final answer
    x = 14,883.72

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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.