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Finding the Fourth Proportional to 15,932.34, 23,898.42 and 5,544

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Solution

The fourth proportional to 15,932.34, 23,898.42 and 5,544 is: 8,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,932.34 : 23,898.42 = 5,544 : x
  2. Step 2: Convert to fraction form
    15,932.34/23,898.42 = 5,544/x
  3. Step 3: Cross multiply
    15,932.34x = 23,898.42 × 5,544
  4. Step 4: Simplify right side
    15,932.34x = 132,492,840.48
  5. Step 5: Solve for x
    x = 132,492,840.48/15,932.34
  6. Step 6: Final answer
    x = 8,315.97

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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.