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Finding the Fourth Proportional to 25,103.14, 37,654.76 and 7,572.98

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Solution

The fourth proportional to 25,103.14, 37,654.76 and 7,572.98 is: 11,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,103.14 : 37,654.76 = 7,572.98 : x
  2. Step 2: Convert to fraction form
    25,103.14/37,654.76 = 7,572.98/x
  3. Step 3: Cross multiply
    25,103.14x = 37,654.76 × 7,572.98
  4. Step 4: Simplify right side
    25,103.14x = 285,158,744.38
  5. Step 5: Solve for x
    x = 285,158,744.38/25,103.14
  6. Step 6: Final answer
    x = 11,359.49

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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.