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Finding the Fourth Proportional to 14,937.75, 20,615.47 and 8,224.74

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Solution

The fourth proportional to 14,937.75, 20,615.47 and 8,224.74 is: 11,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,937.75 : 20,615.47 = 8,224.74 : x
  2. Step 2: Convert to fraction form
    14,937.75/20,615.47 = 8,224.74/x
  3. Step 3: Cross multiply
    14,937.75x = 20,615.47 × 8,224.74
  4. Step 4: Simplify right side
    14,937.75x = 169,556,860.17
  5. Step 5: Solve for x
    x = 169,556,860.17/14,937.75
  6. Step 6: Final answer
    x = 11,350.90

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