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Finding the Fourth Proportional to 14,456.78, 19,952.12 and 8,489.00

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Solution

The fourth proportional to 14,456.78, 19,952.12 and 8,489.00 is: 11,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.78 : 19,952.12 = 8,489.00 : x
  2. Step 2: Convert to fraction form
    14,456.78/19,952.12 = 8,489.00/x
  3. Step 3: Cross multiply
    14,456.78x = 19,952.12 × 8,489.00
  4. Step 4: Simplify right side
    14,456.78x = 169,373,617.78
  5. Step 5: Solve for x
    x = 169,373,617.78/14,456.78
  6. Step 6: Final answer
    x = 11,715.86

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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.