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Finding the Fourth Proportional to 14,314.30, 21,474.86 and 5,989.66

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Solution

The fourth proportional to 14,314.30, 21,474.86 and 5,989.66 is: 8,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.30 : 21,474.86 = 5,989.66 : x
  2. Step 2: Convert to fraction form
    14,314.30/21,474.86 = 5,989.66/x
  3. Step 3: Cross multiply
    14,314.30x = 21,474.86 × 5,989.66
  4. Step 4: Simplify right side
    14,314.30x = 128,627,109.95
  5. Step 5: Solve for x
    x = 128,627,109.95/14,314.30
  6. Step 6: Final answer
    x = 8,985.92

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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.