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Finding the Fourth Proportional to 21,314.29, 31,980.65 and 11,442.04

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Solution

The fourth proportional to 21,314.29, 31,980.65 and 11,442.04 is: 17,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.29 : 31,980.65 = 11,442.04 : x
  2. Step 2: Convert to fraction form
    21,314.29/31,980.65 = 11,442.04/x
  3. Step 3: Cross multiply
    21,314.29x = 31,980.65 × 11,442.04
  4. Step 4: Simplify right side
    21,314.29x = 365,923,876.53
  5. Step 5: Solve for x
    x = 365,923,876.53/21,314.29
  6. Step 6: Final answer
    x = 17,168.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.