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Finding the Fourth Proportional to 14,281.56, 21,397.97 and 10,114.65

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Solution

The fourth proportional to 14,281.56, 21,397.97 and 10,114.65 is: 15,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.56 : 21,397.97 = 10,114.65 : x
  2. Step 2: Convert to fraction form
    14,281.56/21,397.97 = 10,114.65/x
  3. Step 3: Cross multiply
    14,281.56x = 21,397.97 × 10,114.65
  4. Step 4: Simplify right side
    14,281.56x = 216,432,926.69
  5. Step 5: Solve for x
    x = 216,432,926.69/14,281.56
  6. Step 6: Final answer
    x = 15,154.71

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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.