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Finding the Fourth Proportional to 11,298.86, 16,948.29 and 9,839.04

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Solution

The fourth proportional to 11,298.86, 16,948.29 and 9,839.04 is: 14,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.86 : 16,948.29 = 9,839.04 : x
  2. Step 2: Convert to fraction form
    11,298.86/16,948.29 = 9,839.04/x
  3. Step 3: Cross multiply
    11,298.86x = 16,948.29 × 9,839.04
  4. Step 4: Simplify right side
    11,298.86x = 166,754,903.24
  5. Step 5: Solve for x
    x = 166,754,903.24/11,298.86
  6. Step 6: Final answer
    x = 14,758.57

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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.