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Finding the Fourth Proportional to 14,257.20, 19,680.90 and 10,510.14

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Solution

The fourth proportional to 14,257.20, 19,680.90 and 10,510.14 is: 14,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.20 : 19,680.90 = 10,510.14 : x
  2. Step 2: Convert to fraction form
    14,257.20/19,680.90 = 10,510.14/x
  3. Step 3: Cross multiply
    14,257.20x = 19,680.90 × 10,510.14
  4. Step 4: Simplify right side
    14,257.20x = 206,849,014.33
  5. Step 5: Solve for x
    x = 206,849,014.33/14,257.20
  6. Step 6: Final answer
    x = 14,508.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.