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Finding the Fourth Proportional to 15,952.80, 23,930.88 and 5,564.64

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Solution

The fourth proportional to 15,952.80, 23,930.88 and 5,564.64 is: 8,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.80 : 23,930.88 = 5,564.64 : x
  2. Step 2: Convert to fraction form
    15,952.80/23,930.88 = 5,564.64/x
  3. Step 3: Cross multiply
    15,952.80x = 23,930.88 × 5,564.64
  4. Step 4: Simplify right side
    15,952.80x = 133,166,732.08
  5. Step 5: Solve for x
    x = 133,166,732.08/15,952.80
  6. Step 6: Final answer
    x = 8,347.55

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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.