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Finding the Fourth Proportional to 22,516.61, 31,077.22 and 14,846.40

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Solution

The fourth proportional to 22,516.61, 31,077.22 and 14,846.40 is: 20,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.61 : 31,077.22 = 14,846.40 : x
  2. Step 2: Convert to fraction form
    22,516.61/31,077.22 = 14,846.40/x
  3. Step 3: Cross multiply
    22,516.61x = 31,077.22 × 14,846.40
  4. Step 4: Simplify right side
    22,516.61x = 461,384,801.89
  5. Step 5: Solve for x
    x = 461,384,801.89/22,516.61
  6. Step 6: Final answer
    x = 20,490.86

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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.