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Finding the Fourth Proportional to 14,451.84, 21,681.54 and 6,132.18

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Solution

The fourth proportional to 14,451.84, 21,681.54 and 6,132.18 is: 9,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.84 : 21,681.54 = 6,132.18 : x
  2. Step 2: Convert to fraction form
    14,451.84/21,681.54 = 6,132.18/x
  3. Step 3: Cross multiply
    14,451.84x = 21,681.54 × 6,132.18
  4. Step 4: Simplify right side
    14,451.84x = 132,955,105.96
  5. Step 5: Solve for x
    x = 132,955,105.96/14,451.84
  6. Step 6: Final answer
    x = 9,199.87

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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.