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Finding the Fourth Proportional to 25,143.71, 37,715.51 and 6,423.77

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Solution

The fourth proportional to 25,143.71, 37,715.51 and 6,423.77 is: 9,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143.71 : 37,715.51 = 6,423.77 : x
  2. Step 2: Convert to fraction form
    25,143.71/37,715.51 = 6,423.77/x
  3. Step 3: Cross multiply
    25,143.71x = 37,715.51 × 6,423.77
  4. Step 4: Simplify right side
    25,143.71x = 242,275,872.02
  5. Step 5: Solve for x
    x = 242,275,872.02/25,143.71
  6. Step 6: Final answer
    x = 9,635.65

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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.