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Finding the Fourth Proportional to 17,000.16, 25,503.84 and 5,314.26

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Solution

The fourth proportional to 17,000.16, 25,503.84 and 5,314.26 is: 7,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.16 : 25,503.84 = 5,314.26 : x
  2. Step 2: Convert to fraction form
    17,000.16/25,503.84 = 5,314.26/x
  3. Step 3: Cross multiply
    17,000.16x = 25,503.84 × 5,314.26
  4. Step 4: Simplify right side
    17,000.16x = 135,534,036.76
  5. Step 5: Solve for x
    x = 135,534,036.76/17,000.16
  6. Step 6: Final answer
    x = 7,972.52

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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.