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Finding the Fourth Proportional to 14,182.40, 21,265.92 and 6,382.08

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Solution

The fourth proportional to 14,182.40, 21,265.92 and 6,382.08 is: 9,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.40 : 21,265.92 = 6,382.08 : x
  2. Step 2: Convert to fraction form
    14,182.40/21,265.92 = 6,382.08/x
  3. Step 3: Cross multiply
    14,182.40x = 21,265.92 × 6,382.08
  4. Step 4: Simplify right side
    14,182.40x = 135,720,802.71
  5. Step 5: Solve for x
    x = 135,720,802.71/14,182.40
  6. Step 6: Final answer
    x = 9,569.66

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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.