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Finding the Fourth Proportional to 17,148.16, 25,723.32 and 5,461.84

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Solution

The fourth proportional to 17,148.16, 25,723.32 and 5,461.84 is: 8,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,148.16 : 25,723.32 = 5,461.84 : x
  2. Step 2: Convert to fraction form
    17,148.16/25,723.32 = 5,461.84/x
  3. Step 3: Cross multiply
    17,148.16x = 25,723.32 × 5,461.84
  4. Step 4: Simplify right side
    17,148.16x = 140,496,658.11
  5. Step 5: Solve for x
    x = 140,496,658.11/17,148.16
  6. Step 6: Final answer
    x = 8,193.10

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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.