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Finding the Fourth Proportional to 15,618.38, 23,430.80 and 6,384.38

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Solution

The fourth proportional to 15,618.38, 23,430.80 and 6,384.38 is: 9,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,618.38 : 23,430.80 = 6,384.38 : x
  2. Step 2: Convert to fraction form
    15,618.38/23,430.80 = 6,384.38/x
  3. Step 3: Cross multiply
    15,618.38x = 23,430.80 × 6,384.38
  4. Step 4: Simplify right side
    15,618.38x = 149,591,029.71
  5. Step 5: Solve for x
    x = 149,591,029.71/15,618.38
  6. Step 6: Final answer
    x = 9,577.89

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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.