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Finding the Fourth Proportional to 15,924.34, 23,886.42 and 5,536

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Solution

The fourth proportional to 15,924.34, 23,886.42 and 5,536 is: 8,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.34 : 23,886.42 = 5,536 : x
  2. Step 2: Convert to fraction form
    15,924.34/23,886.42 = 5,536/x
  3. Step 3: Cross multiply
    15,924.34x = 23,886.42 × 5,536
  4. Step 4: Simplify right side
    15,924.34x = 132,235,221.12
  5. Step 5: Solve for x
    x = 132,235,221.12/15,924.34
  6. Step 6: Final answer
    x = 8,303.97

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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.