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Finding the Fourth Proportional to 14,140.32, 19,504.67 and 8,687

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Solution

The fourth proportional to 14,140.32, 19,504.67 and 8,687 is: 11,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.32 : 19,504.67 = 8,687 : x
  2. Step 2: Convert to fraction form
    14,140.32/19,504.67 = 8,687/x
  3. Step 3: Cross multiply
    14,140.32x = 19,504.67 × 8,687
  4. Step 4: Simplify right side
    14,140.32x = 169,437,068.29
  5. Step 5: Solve for x
    x = 169,437,068.29/14,140.32
  6. Step 6: Final answer
    x = 11,982.55

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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.