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Finding the Fourth Proportional to 14,310.69, 21,462.16 and 5,989

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Solution

The fourth proportional to 14,310.69, 21,462.16 and 5,989 is: 8,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.69 : 21,462.16 = 5,989 : x
  2. Step 2: Convert to fraction form
    14,310.69/21,462.16 = 5,989/x
  3. Step 3: Cross multiply
    14,310.69x = 21,462.16 × 5,989
  4. Step 4: Simplify right side
    14,310.69x = 128,536,876.24
  5. Step 5: Solve for x
    x = 128,536,876.24/14,310.69
  6. Step 6: Final answer
    x = 8,981.88

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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.