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Finding the Fourth Proportional to 14,142.48, 21,200.76 and 4,902

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Solution

The fourth proportional to 14,142.48, 21,200.76 and 4,902 is: 7,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.48 : 21,200.76 = 4,902 : x
  2. Step 2: Convert to fraction form
    14,142.48/21,200.76 = 4,902/x
  3. Step 3: Cross multiply
    14,142.48x = 21,200.76 × 4,902
  4. Step 4: Simplify right side
    14,142.48x = 103,926,125.52
  5. Step 5: Solve for x
    x = 103,926,125.52/14,142.48
  6. Step 6: Final answer
    x = 7,348.51

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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.