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Finding the Fourth Proportional to 15,909.78, 23,857.71 and 6,543.54

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Solution

The fourth proportional to 15,909.78, 23,857.71 and 6,543.54 is: 9,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.78 : 23,857.71 = 6,543.54 : x
  2. Step 2: Convert to fraction form
    15,909.78/23,857.71 = 6,543.54/x
  3. Step 3: Cross multiply
    15,909.78x = 23,857.71 × 6,543.54
  4. Step 4: Simplify right side
    15,909.78x = 156,113,879.69
  5. Step 5: Solve for x
    x = 156,113,879.69/15,909.78
  6. Step 6: Final answer
    x = 9,812.45

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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.