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Finding the Fourth Proportional to 12,702.12, 17,532.63 and 8,225.70

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Solution

The fourth proportional to 12,702.12, 17,532.63 and 8,225.70 is: 11,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.12 : 17,532.63 = 8,225.70 : x
  2. Step 2: Convert to fraction form
    12,702.12/17,532.63 = 8,225.70/x
  3. Step 3: Cross multiply
    12,702.12x = 17,532.63 × 8,225.70
  4. Step 4: Simplify right side
    12,702.12x = 144,218,154.59
  5. Step 5: Solve for x
    x = 144,218,154.59/12,702.12
  6. Step 6: Final answer
    x = 11,353.86

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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.