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Finding the Fourth Proportional to 23,217.66, 32,040.54 and 12,607.38

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Solution

The fourth proportional to 23,217.66, 32,040.54 and 12,607.38 is: 17,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.66 : 32,040.54 = 12,607.38 : x
  2. Step 2: Convert to fraction form
    23,217.66/32,040.54 = 12,607.38/x
  3. Step 3: Cross multiply
    23,217.66x = 32,040.54 × 12,607.38
  4. Step 4: Simplify right side
    23,217.66x = 403,947,263.19
  5. Step 5: Solve for x
    x = 403,947,263.19/23,217.66
  6. Step 6: Final answer
    x = 17,398.28

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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.