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Finding the Fourth Proportional to 17,548.80, 24,217.32 and 9,482.45

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Solution

The fourth proportional to 17,548.80, 24,217.32 and 9,482.45 is: 13,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548.80 : 24,217.32 = 9,482.45 : x
  2. Step 2: Convert to fraction form
    17,548.80/24,217.32 = 9,482.45/x
  3. Step 3: Cross multiply
    17,548.80x = 24,217.32 × 9,482.45
  4. Step 4: Simplify right side
    17,548.80x = 229,639,404.95
  5. Step 5: Solve for x
    x = 229,639,404.95/17,548.80
  6. Step 6: Final answer
    x = 13,085.76

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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.