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Finding the Fourth Proportional to 16,564.80, 24,848.40 and 9,976.80

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Solution

The fourth proportional to 16,564.80, 24,848.40 and 9,976.80 is: 14,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.80 : 24,848.40 = 9,976.80 : x
  2. Step 2: Convert to fraction form
    16,564.80/24,848.40 = 9,976.80/x
  3. Step 3: Cross multiply
    16,564.80x = 24,848.40 × 9,976.80
  4. Step 4: Simplify right side
    16,564.80x = 247,907,517.12
  5. Step 5: Solve for x
    x = 247,907,517.12/16,564.80
  6. Step 6: Final answer
    x = 14,965.92

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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.