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Finding the Fourth Proportional to 14,419.16, 21,613.74 and 6,092.24

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Solution

The fourth proportional to 14,419.16, 21,613.74 and 6,092.24 is: 9,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.16 : 21,613.74 = 6,092.24 : x
  2. Step 2: Convert to fraction form
    14,419.16/21,613.74 = 6,092.24/x
  3. Step 3: Cross multiply
    14,419.16x = 21,613.74 × 6,092.24
  4. Step 4: Simplify right side
    14,419.16x = 131,676,091.38
  5. Step 5: Solve for x
    x = 131,676,091.38/14,419.16
  6. Step 6: Final answer
    x = 9,132.02

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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.