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Finding the Fourth Proportional to 14,565.88, 21,841.74 and 5,205.70

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Solution

The fourth proportional to 14,565.88, 21,841.74 and 5,205.70 is: 7,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.88 : 21,841.74 = 5,205.70 : x
  2. Step 2: Convert to fraction form
    14,565.88/21,841.74 = 5,205.70/x
  3. Step 3: Cross multiply
    14,565.88x = 21,841.74 × 5,205.70
  4. Step 4: Simplify right side
    14,565.88x = 113,701,545.92
  5. Step 5: Solve for x
    x = 113,701,545.92/14,565.88
  6. Step 6: Final answer
    x = 7,806.02

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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.