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Finding the Fourth Proportional to 24,314.77, 36,453.93 and 10,291.24

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Solution

The fourth proportional to 24,314.77, 36,453.93 and 10,291.24 is: 15,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.77 : 36,453.93 = 10,291.24 : x
  2. Step 2: Convert to fraction form
    24,314.77/36,453.93 = 10,291.24/x
  3. Step 3: Cross multiply
    24,314.77x = 36,453.93 × 10,291.24
  4. Step 4: Simplify right side
    24,314.77x = 375,156,142.57
  5. Step 5: Solve for x
    x = 375,156,142.57/24,314.77
  6. Step 6: Final answer
    x = 15,429.15

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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.