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Finding the Fourth Proportional to 24,738.16, 34,142.16 and 15,309.76

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Solution

The fourth proportional to 24,738.16, 34,142.16 and 15,309.76 is: 21,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.16 : 34,142.16 = 15,309.76 : x
  2. Step 2: Convert to fraction form
    24,738.16/34,142.16 = 15,309.76/x
  3. Step 3: Cross multiply
    24,738.16x = 34,142.16 × 15,309.76
  4. Step 4: Simplify right side
    24,738.16x = 522,708,275.48
  5. Step 5: Solve for x
    x = 522,708,275.48/24,738.16
  6. Step 6: Final answer
    x = 21,129.63

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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.