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Finding the Fourth Proportional to 22,098.42, 30,486.17 and 14,535.05

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Solution

The fourth proportional to 22,098.42, 30,486.17 and 14,535.05 is: 20,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.42 : 30,486.17 = 14,535.05 : x
  2. Step 2: Convert to fraction form
    22,098.42/30,486.17 = 14,535.05/x
  3. Step 3: Cross multiply
    22,098.42x = 30,486.17 × 14,535.05
  4. Step 4: Simplify right side
    22,098.42x = 443,117,889.17
  5. Step 5: Solve for x
    x = 443,117,889.17/22,098.42
  6. Step 6: Final answer
    x = 20,052.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.