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Finding the Fourth Proportional to 22,741.56, 31,385.65 and 12,671.64

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Solution

The fourth proportional to 22,741.56, 31,385.65 and 12,671.64 is: 17,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741.56 : 31,385.65 = 12,671.64 : x
  2. Step 2: Convert to fraction form
    22,741.56/31,385.65 = 12,671.64/x
  3. Step 3: Cross multiply
    22,741.56x = 31,385.65 × 12,671.64
  4. Step 4: Simplify right side
    22,741.56x = 397,707,657.97
  5. Step 5: Solve for x
    x = 397,707,657.97/22,741.56
  6. Step 6: Final answer
    x = 17,488.14

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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.