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Finding the Fourth Proportional to 22,585.63, 31,165.05 and 12,511.57

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Solution

The fourth proportional to 22,585.63, 31,165.05 and 12,511.57 is: 17,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.63 : 31,165.05 = 12,511.57 : x
  2. Step 2: Convert to fraction form
    22,585.63/31,165.05 = 12,511.57/x
  3. Step 3: Cross multiply
    22,585.63x = 31,165.05 × 12,511.57
  4. Step 4: Simplify right side
    22,585.63x = 389,923,704.63
  5. Step 5: Solve for x
    x = 389,923,704.63/22,585.63
  6. Step 6: Final answer
    x = 17,264.24

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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.