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Finding the Fourth Proportional to 14,677.83, 22,020.36 and 6,785.83

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Solution

The fourth proportional to 14,677.83, 22,020.36 and 6,785.83 is: 10,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.83 : 22,020.36 = 6,785.83 : x
  2. Step 2: Convert to fraction form
    14,677.83/22,020.36 = 6,785.83/x
  3. Step 3: Cross multiply
    14,677.83x = 22,020.36 × 6,785.83
  4. Step 4: Simplify right side
    14,677.83x = 149,426,437.06
  5. Step 5: Solve for x
    x = 149,426,437.06/14,677.83
  6. Step 6: Final answer
    x = 10,180.42

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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.