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Finding the Fourth Proportional to 12,691.16, 17,515.84 and 12,130.50

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Solution

The fourth proportional to 12,691.16, 17,515.84 and 12,130.50 is: 16,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.16 : 17,515.84 = 12,130.50 : x
  2. Step 2: Convert to fraction form
    12,691.16/17,515.84 = 12,130.50/x
  3. Step 3: Cross multiply
    12,691.16x = 17,515.84 × 12,130.50
  4. Step 4: Simplify right side
    12,691.16x = 212,475,897.12
  5. Step 5: Solve for x
    x = 212,475,897.12/12,691.16
  6. Step 6: Final answer
    x = 16,742.04

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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.