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Finding the Fourth Proportional to 23,374.16, 35,074 and 13,532.66

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Solution

The fourth proportional to 23,374.16, 35,074 and 13,532.66 is: 20,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,374.16 : 35,074 = 13,532.66 : x
  2. Step 2: Convert to fraction form
    23,374.16/35,074 = 13,532.66/x
  3. Step 3: Cross multiply
    23,374.16x = 35,074 × 13,532.66
  4. Step 4: Simplify right side
    23,374.16x = 474,644,516.84
  5. Step 5: Solve for x
    x = 474,644,516.84/23,374.16
  6. Step 6: Final answer
    x = 20,306.38

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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.