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Finding the Fourth Proportional to 15,430.78, 23,147.25 and 7,637.50

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Solution

The fourth proportional to 15,430.78, 23,147.25 and 7,637.50 is: 11,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.78 : 23,147.25 = 7,637.50 : x
  2. Step 2: Convert to fraction form
    15,430.78/23,147.25 = 7,637.50/x
  3. Step 3: Cross multiply
    15,430.78x = 23,147.25 × 7,637.50
  4. Step 4: Simplify right side
    15,430.78x = 176,787,121.88
  5. Step 5: Solve for x
    x = 176,787,121.88/15,430.78
  6. Step 6: Final answer
    x = 11,456.78

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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.