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Finding the Fourth Proportional to 14,508.48, 20,015.10 and 10,259.76

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Solution

The fourth proportional to 14,508.48, 20,015.10 and 10,259.76 is: 14,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508.48 : 20,015.10 = 10,259.76 : x
  2. Step 2: Convert to fraction form
    14,508.48/20,015.10 = 10,259.76/x
  3. Step 3: Cross multiply
    14,508.48x = 20,015.10 × 10,259.76
  4. Step 4: Simplify right side
    14,508.48x = 205,350,122.38
  5. Step 5: Solve for x
    x = 205,350,122.38/14,508.48
  6. Step 6: Final answer
    x = 14,153.80

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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.