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Finding the Fourth Proportional to 24,506.24, 36,752.88 and 10,652

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Solution

The fourth proportional to 24,506.24, 36,752.88 and 10,652 is: 15,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.24 : 36,752.88 = 10,652 : x
  2. Step 2: Convert to fraction form
    24,506.24/36,752.88 = 10,652/x
  3. Step 3: Cross multiply
    24,506.24x = 36,752.88 × 10,652
  4. Step 4: Simplify right side
    24,506.24x = 391,491,677.76
  5. Step 5: Solve for x
    x = 391,491,677.76/24,506.24
  6. Step 6: Final answer
    x = 15,975.18

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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.