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Finding the Fourth Proportional to 25,248.38, 37,878.03 and 9,666

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Solution

The fourth proportional to 25,248.38, 37,878.03 and 9,666 is: 14,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,248.38 : 37,878.03 = 9,666 : x
  2. Step 2: Convert to fraction form
    25,248.38/37,878.03 = 9,666/x
  3. Step 3: Cross multiply
    25,248.38x = 37,878.03 × 9,666
  4. Step 4: Simplify right side
    25,248.38x = 366,129,037.98
  5. Step 5: Solve for x
    x = 366,129,037.98/25,248.38
  6. Step 6: Final answer
    x = 14,501.09

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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.