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Finding the Fourth Proportional to 14,291.27, 21,423.07 and 6,389.31

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Solution

The fourth proportional to 14,291.27, 21,423.07 and 6,389.31 is: 9,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.27 : 21,423.07 = 6,389.31 : x
  2. Step 2: Convert to fraction form
    14,291.27/21,423.07 = 6,389.31/x
  3. Step 3: Cross multiply
    14,291.27x = 21,423.07 × 6,389.31
  4. Step 4: Simplify right side
    14,291.27x = 136,878,635.38
  5. Step 5: Solve for x
    x = 136,878,635.38/14,291.27
  6. Step 6: Final answer
    x = 9,577.78

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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.