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Finding the Fourth Proportional to 14,863.68, 20,511.12 and 8,575.68

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Solution

The fourth proportional to 14,863.68, 20,511.12 and 8,575.68 is: 11,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.68 : 20,511.12 = 8,575.68 : x
  2. Step 2: Convert to fraction form
    14,863.68/20,511.12 = 8,575.68/x
  3. Step 3: Cross multiply
    14,863.68x = 20,511.12 × 8,575.68
  4. Step 4: Simplify right side
    14,863.68x = 175,896,801.56
  5. Step 5: Solve for x
    x = 175,896,801.56/14,863.68
  6. Step 6: Final answer
    x = 11,834.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.