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Finding the Fourth Proportional to 23,635.54, 32,616.40 and 13,025.17

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Solution

The fourth proportional to 23,635.54, 32,616.40 and 13,025.17 is: 17,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635.54 : 32,616.40 = 13,025.17 : x
  2. Step 2: Convert to fraction form
    23,635.54/32,616.40 = 13,025.17/x
  3. Step 3: Cross multiply
    23,635.54x = 32,616.40 × 13,025.17
  4. Step 4: Simplify right side
    23,635.54x = 424,834,154.79
  5. Step 5: Solve for x
    x = 424,834,154.79/23,635.54
  6. Step 6: Final answer
    x = 17,974.38

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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.