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Finding the Fourth Proportional to 14,382.67, 21,576.47 and 6,592.15

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Solution

The fourth proportional to 14,382.67, 21,576.47 and 6,592.15 is: 9,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.67 : 21,576.47 = 6,592.15 : x
  2. Step 2: Convert to fraction form
    14,382.67/21,576.47 = 6,592.15/x
  3. Step 3: Cross multiply
    14,382.67x = 21,576.47 × 6,592.15
  4. Step 4: Simplify right side
    14,382.67x = 142,235,293.75
  5. Step 5: Solve for x
    x = 142,235,293.75/14,382.67
  6. Step 6: Final answer
    x = 9,889.35

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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.