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Finding the Fourth Proportional to 24,316.16, 36,471.20 and 10,281.76

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Solution

The fourth proportional to 24,316.16, 36,471.20 and 10,281.76 is: 15,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316.16 : 36,471.20 = 10,281.76 : x
  2. Step 2: Convert to fraction form
    24,316.16/36,471.20 = 10,281.76/x
  3. Step 3: Cross multiply
    24,316.16x = 36,471.20 × 10,281.76
  4. Step 4: Simplify right side
    24,316.16x = 374,988,125.31
  5. Step 5: Solve for x
    x = 374,988,125.31/24,316.16
  6. Step 6: Final answer
    x = 15,421.35

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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.