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Finding the Fourth Proportional to 22,123.96, 30,511.02 and 14,659

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Solution

The fourth proportional to 22,123.96, 30,511.02 and 14,659 is: 20,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,123.96 : 30,511.02 = 14,659 : x
  2. Step 2: Convert to fraction form
    22,123.96/30,511.02 = 14,659/x
  3. Step 3: Cross multiply
    22,123.96x = 30,511.02 × 14,659
  4. Step 4: Simplify right side
    22,123.96x = 447,261,042.18
  5. Step 5: Solve for x
    x = 447,261,042.18/22,123.96
  6. Step 6: Final answer
    x = 20,216.14

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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.