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Finding the Fourth Proportional to 21,084.95, 29,110.65 and 13,138.85

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Solution

The fourth proportional to 21,084.95, 29,110.65 and 13,138.85 is: 18,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.95 : 29,110.65 = 13,138.85 : x
  2. Step 2: Convert to fraction form
    21,084.95/29,110.65 = 13,138.85/x
  3. Step 3: Cross multiply
    21,084.95x = 29,110.65 × 13,138.85
  4. Step 4: Simplify right side
    21,084.95x = 382,480,463.75
  5. Step 5: Solve for x
    x = 382,480,463.75/21,084.95
  6. Step 6: Final answer
    x = 18,139.97

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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.