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Finding the Fourth Proportional to 24,505.14, 36,757.74 and 6,037.14

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Solution

The fourth proportional to 24,505.14, 36,757.74 and 6,037.14 is: 9,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,505.14 : 36,757.74 = 6,037.14 : x
  2. Step 2: Convert to fraction form
    24,505.14/36,757.74 = 6,037.14/x
  3. Step 3: Cross multiply
    24,505.14x = 36,757.74 × 6,037.14
  4. Step 4: Simplify right side
    24,505.14x = 221,911,622.46
  5. Step 5: Solve for x
    x = 221,911,622.46/24,505.14
  6. Step 6: Final answer
    x = 9,055.72

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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.