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Finding the Fourth Proportional to 11,306.36, 16,959.84 and 9,652.48

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Solution

The fourth proportional to 11,306.36, 16,959.84 and 9,652.48 is: 14,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.36 : 16,959.84 = 9,652.48 : x
  2. Step 2: Convert to fraction form
    11,306.36/16,959.84 = 9,652.48/x
  3. Step 3: Cross multiply
    11,306.36x = 16,959.84 × 9,652.48
  4. Step 4: Simplify right side
    11,306.36x = 163,704,516.40
  5. Step 5: Solve for x
    x = 163,704,516.40/11,306.36
  6. Step 6: Final answer
    x = 14,478.98

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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.