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Finding the Fourth Proportional to 24,957.24, 37,435.86 and 6,488.76

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Solution

The fourth proportional to 24,957.24, 37,435.86 and 6,488.76 is: 9,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,957.24 : 37,435.86 = 6,488.76 : x
  2. Step 2: Convert to fraction form
    24,957.24/37,435.86 = 6,488.76/x
  3. Step 3: Cross multiply
    24,957.24x = 37,435.86 × 6,488.76
  4. Step 4: Simplify right side
    24,957.24x = 242,912,310.93
  5. Step 5: Solve for x
    x = 242,912,310.93/24,957.24
  6. Step 6: Final answer
    x = 9,733.14

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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.