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Finding the Fourth Proportional to 22,741.30, 31,364.88 and 16,366.87

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Solution

The fourth proportional to 22,741.30, 31,364.88 and 16,366.87 is: 22,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741.30 : 31,364.88 = 16,366.87 : x
  2. Step 2: Convert to fraction form
    22,741.30/31,364.88 = 16,366.87/x
  3. Step 3: Cross multiply
    22,741.30x = 31,364.88 × 16,366.87
  4. Step 4: Simplify right side
    22,741.30x = 513,344,913.53
  5. Step 5: Solve for x
    x = 513,344,913.53/22,741.30
  6. Step 6: Final answer
    x = 22,573.24

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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.