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Finding the Fourth Proportional to 14,397.65, 21,589.14 and 10,806.96

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Solution

The fourth proportional to 14,397.65, 21,589.14 and 10,806.96 is: 16,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.65 : 21,589.14 = 10,806.96 : x
  2. Step 2: Convert to fraction form
    14,397.65/21,589.14 = 10,806.96/x
  3. Step 3: Cross multiply
    14,397.65x = 21,589.14 × 10,806.96
  4. Step 4: Simplify right side
    14,397.65x = 233,312,972.41
  5. Step 5: Solve for x
    x = 233,312,972.41/14,397.65
  6. Step 6: Final answer
    x = 16,204.93

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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.