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Finding the Fourth Proportional to 14,448.24, 21,657 and 6,132.72

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Solution

The fourth proportional to 14,448.24, 21,657 and 6,132.72 is: 9,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448.24 : 21,657 = 6,132.72 : x
  2. Step 2: Convert to fraction form
    14,448.24/21,657 = 6,132.72/x
  3. Step 3: Cross multiply
    14,448.24x = 21,657 × 6,132.72
  4. Step 4: Simplify right side
    14,448.24x = 132,816,317.04
  5. Step 5: Solve for x
    x = 132,816,317.04/14,448.24
  6. Step 6: Final answer
    x = 9,192.56

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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.