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Finding the Fourth Proportional to 22,046.31, 30,402.86 and 14,499

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Solution

The fourth proportional to 22,046.31, 30,402.86 and 14,499 is: 19,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.31 : 30,402.86 = 14,499 : x
  2. Step 2: Convert to fraction form
    22,046.31/30,402.86 = 14,499/x
  3. Step 3: Cross multiply
    22,046.31x = 30,402.86 × 14,499
  4. Step 4: Simplify right side
    22,046.31x = 440,810,994.65
  5. Step 5: Solve for x
    x = 440,810,994.65/22,046.31
  6. Step 6: Final answer
    x = 19,994.77

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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.