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Finding the Fourth Proportional to 17,002.60, 25,471.42 and 9,965.32

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Solution

The fourth proportional to 17,002.60, 25,471.42 and 9,965.32 is: 14,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.60 : 25,471.42 = 9,965.32 : x
  2. Step 2: Convert to fraction form
    17,002.60/25,471.42 = 9,965.32/x
  3. Step 3: Cross multiply
    17,002.60x = 25,471.42 × 9,965.32
  4. Step 4: Simplify right side
    17,002.60x = 253,830,851.15
  5. Step 5: Solve for x
    x = 253,830,851.15/17,002.60
  6. Step 6: Final answer
    x = 14,928.94

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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.