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Finding the Fourth Proportional to 15,430.66, 23,147.07 and 7,637.38

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Solution

The fourth proportional to 15,430.66, 23,147.07 and 7,637.38 is: 11,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.66 : 23,147.07 = 7,637.38 : x
  2. Step 2: Convert to fraction form
    15,430.66/23,147.07 = 7,637.38/x
  3. Step 3: Cross multiply
    15,430.66x = 23,147.07 × 7,637.38
  4. Step 4: Simplify right side
    15,430.66x = 176,782,815.55
  5. Step 5: Solve for x
    x = 176,782,815.55/15,430.66
  6. Step 6: Final answer
    x = 11,456.60

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