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Finding the Fourth Proportional to 25,273, 37,909.50 and 7,742.71

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Solution

The fourth proportional to 25,273, 37,909.50 and 7,742.71 is: 11,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,273 : 37,909.50 = 7,742.71 : x
  2. Step 2: Convert to fraction form
    25,273/37,909.50 = 7,742.71/x
  3. Step 3: Cross multiply
    25,273x = 37,909.50 × 7,742.71
  4. Step 4: Simplify right side
    25,273x = 293,522,264.75
  5. Step 5: Solve for x
    x = 293,522,264.75/25,273
  6. Step 6: Final answer
    x = 11,614.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.