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Finding the Fourth Proportional to 17,059.74, 23,534.10 and 14,697.78

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Solution

The fourth proportional to 17,059.74, 23,534.10 and 14,697.78 is: 20,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,059.74 : 23,534.10 = 14,697.78 : x
  2. Step 2: Convert to fraction form
    17,059.74/23,534.10 = 14,697.78/x
  3. Step 3: Cross multiply
    17,059.74x = 23,534.10 × 14,697.78
  4. Step 4: Simplify right side
    17,059.74x = 345,899,024.30
  5. Step 5: Solve for x
    x = 345,899,024.30/17,059.74
  6. Step 6: Final answer
    x = 20,275.75

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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.