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Finding the Fourth Proportional to 16,205.09, 24,307.16 and 8,856.08

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Solution

The fourth proportional to 16,205.09, 24,307.16 and 8,856.08 is: 13,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.09 : 24,307.16 = 8,856.08 : x
  2. Step 2: Convert to fraction form
    16,205.09/24,307.16 = 8,856.08/x
  3. Step 3: Cross multiply
    16,205.09x = 24,307.16 × 8,856.08
  4. Step 4: Simplify right side
    16,205.09x = 215,266,170.02
  5. Step 5: Solve for x
    x = 215,266,170.02/16,205.09
  6. Step 6: Final answer
    x = 13,283.87

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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.