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Finding the Fourth Proportional to 23,476.55, 32,397.66 and 12,866.21

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Solution

The fourth proportional to 23,476.55, 32,397.66 and 12,866.21 is: 17,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476.55 : 32,397.66 = 12,866.21 : x
  2. Step 2: Convert to fraction form
    23,476.55/32,397.66 = 12,866.21/x
  3. Step 3: Cross multiply
    23,476.55x = 32,397.66 × 12,866.21
  4. Step 4: Simplify right side
    23,476.55x = 416,834,935.08
  5. Step 5: Solve for x
    x = 416,834,935.08/23,476.55
  6. Step 6: Final answer
    x = 17,755.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.