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Finding the Fourth Proportional to 21,122.95, 29,146.62 and 11,691.49

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Solution

The fourth proportional to 21,122.95, 29,146.62 and 11,691.49 is: 16,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.95 : 29,146.62 = 11,691.49 : x
  2. Step 2: Convert to fraction form
    21,122.95/29,146.62 = 11,691.49/x
  3. Step 3: Cross multiply
    21,122.95x = 29,146.62 × 11,691.49
  4. Step 4: Simplify right side
    21,122.95x = 340,767,416.26
  5. Step 5: Solve for x
    x = 340,767,416.26/21,122.95
  6. Step 6: Final answer
    x = 16,132.57

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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.