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Finding the Fourth Proportional to 24,324.16, 36,457.68 and 10,281.28

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Solution

The fourth proportional to 24,324.16, 36,457.68 and 10,281.28 is: 15,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324.16 : 36,457.68 = 10,281.28 : x
  2. Step 2: Convert to fraction form
    24,324.16/36,457.68 = 10,281.28/x
  3. Step 3: Cross multiply
    24,324.16x = 36,457.68 × 10,281.28
  4. Step 4: Simplify right side
    24,324.16x = 374,831,616.23
  5. Step 5: Solve for x
    x = 374,831,616.23/24,324.16
  6. Step 6: Final answer
    x = 15,409.85

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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.