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Finding the Fourth Proportional to 17,480.76, 24,123.57 and 9,523.20

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Solution

The fourth proportional to 17,480.76, 24,123.57 and 9,523.20 is: 13,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,480.76 : 24,123.57 = 9,523.20 : x
  2. Step 2: Convert to fraction form
    17,480.76/24,123.57 = 9,523.20/x
  3. Step 3: Cross multiply
    17,480.76x = 24,123.57 × 9,523.20
  4. Step 4: Simplify right side
    17,480.76x = 229,733,581.82
  5. Step 5: Solve for x
    x = 229,733,581.82/17,480.76
  6. Step 6: Final answer
    x = 13,142.08

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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.