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Finding the Fourth Proportional to 12,253.70, 16,909.56 and 6,948.86

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Solution

The fourth proportional to 12,253.70, 16,909.56 and 6,948.86 is: 9,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.70 : 16,909.56 = 6,948.86 : x
  2. Step 2: Convert to fraction form
    12,253.70/16,909.56 = 6,948.86/x
  3. Step 3: Cross multiply
    12,253.70x = 16,909.56 × 6,948.86
  4. Step 4: Simplify right side
    12,253.70x = 117,502,165.10
  5. Step 5: Solve for x
    x = 117,502,165.10/12,253.70
  6. Step 6: Final answer
    x = 9,589.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.