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Finding the Fourth Proportional to 23,625.38, 32,603.02 and 13,015

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Solution

The fourth proportional to 23,625.38, 32,603.02 and 13,015 is: 17,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,625.38 : 32,603.02 = 13,015 : x
  2. Step 2: Convert to fraction form
    23,625.38/32,603.02 = 13,015/x
  3. Step 3: Cross multiply
    23,625.38x = 32,603.02 × 13,015
  4. Step 4: Simplify right side
    23,625.38x = 424,328,305.30
  5. Step 5: Solve for x
    x = 424,328,305.30/23,625.38
  6. Step 6: Final answer
    x = 17,960.70

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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.