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Finding the Fourth Proportional to 22,524.86, 31,080.02 and 14,137.58

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Solution

The fourth proportional to 22,524.86, 31,080.02 and 14,137.58 is: 19,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.86 : 31,080.02 = 14,137.58 : x
  2. Step 2: Convert to fraction form
    22,524.86/31,080.02 = 14,137.58/x
  3. Step 3: Cross multiply
    22,524.86x = 31,080.02 × 14,137.58
  4. Step 4: Simplify right side
    22,524.86x = 439,396,269.15
  5. Step 5: Solve for x
    x = 439,396,269.15/22,524.86
  6. Step 6: Final answer
    x = 19,507.17

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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.