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Finding the Fourth Proportional to 24,806.32, 34,231.84 and 13,475.40

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Solution

The fourth proportional to 24,806.32, 34,231.84 and 13,475.40 is: 18,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806.32 : 34,231.84 = 13,475.40 : x
  2. Step 2: Convert to fraction form
    24,806.32/34,231.84 = 13,475.40/x
  3. Step 3: Cross multiply
    24,806.32x = 34,231.84 × 13,475.40
  4. Step 4: Simplify right side
    24,806.32x = 461,287,736.74
  5. Step 5: Solve for x
    x = 461,287,736.74/24,806.32
  6. Step 6: Final answer
    x = 18,595.57

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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.