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Finding the Fourth Proportional to 17,891.72, 24,690.48 and 9,825.53

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Solution

The fourth proportional to 17,891.72, 24,690.48 and 9,825.53 is: 13,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,891.72 : 24,690.48 = 9,825.53 : x
  2. Step 2: Convert to fraction form
    17,891.72/24,690.48 = 9,825.53/x
  3. Step 3: Cross multiply
    17,891.72x = 24,690.48 × 9,825.53
  4. Step 4: Simplify right side
    17,891.72x = 242,597,051.95
  5. Step 5: Solve for x
    x = 242,597,051.95/17,891.72
  6. Step 6: Final answer
    x = 13,559.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.