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Finding the Fourth Proportional to 25,149.29, 37,724 and 7,619.27

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Solution

The fourth proportional to 25,149.29, 37,724 and 7,619.27 is: 11,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,149.29 : 37,724 = 7,619.27 : x
  2. Step 2: Convert to fraction form
    25,149.29/37,724 = 7,619.27/x
  3. Step 3: Cross multiply
    25,149.29x = 37,724 × 7,619.27
  4. Step 4: Simplify right side
    25,149.29x = 287,429,341.48
  5. Step 5: Solve for x
    x = 287,429,341.48/25,149.29
  6. Step 6: Final answer
    x = 11,428.92

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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.