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Finding the Fourth Proportional to 15,666.12, 23,505.66 and 8,739

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Solution

The fourth proportional to 15,666.12, 23,505.66 and 8,739 is: 13,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.12 : 23,505.66 = 8,739 : x
  2. Step 2: Convert to fraction form
    15,666.12/23,505.66 = 8,739/x
  3. Step 3: Cross multiply
    15,666.12x = 23,505.66 × 8,739
  4. Step 4: Simplify right side
    15,666.12x = 205,415,962.74
  5. Step 5: Solve for x
    x = 205,415,962.74/15,666.12
  6. Step 6: Final answer
    x = 13,112.11

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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.