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Finding the Fourth Proportional to 17,130.32, 25,692.80 and 5,442

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Solution

The fourth proportional to 17,130.32, 25,692.80 and 5,442 is: 8,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130.32 : 25,692.80 = 5,442 : x
  2. Step 2: Convert to fraction form
    17,130.32/25,692.80 = 5,442/x
  3. Step 3: Cross multiply
    17,130.32x = 25,692.80 × 5,442
  4. Step 4: Simplify right side
    17,130.32x = 139,820,217.60
  5. Step 5: Solve for x
    x = 139,820,217.60/17,130.32
  6. Step 6: Final answer
    x = 8,162.15

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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.