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Finding the Fourth Proportional to 12,532.59, 17,255.63 and 10,640.23

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Solution

The fourth proportional to 12,532.59, 17,255.63 and 10,640.23 is: 14,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.59 : 17,255.63 = 10,640.23 : x
  2. Step 2: Convert to fraction form
    12,532.59/17,255.63 = 10,640.23/x
  3. Step 3: Cross multiply
    12,532.59x = 17,255.63 × 10,640.23
  4. Step 4: Simplify right side
    12,532.59x = 183,603,855.46
  5. Step 5: Solve for x
    x = 183,603,855.46/12,532.59
  6. Step 6: Final answer
    x = 14,650.11

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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.