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Finding the Fourth Proportional to 14,785.68, 22,187.55 and 6,465.78

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Solution

The fourth proportional to 14,785.68, 22,187.55 and 6,465.78 is: 9,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.68 : 22,187.55 = 6,465.78 : x
  2. Step 2: Convert to fraction form
    14,785.68/22,187.55 = 6,465.78/x
  3. Step 3: Cross multiply
    14,785.68x = 22,187.55 × 6,465.78
  4. Step 4: Simplify right side
    14,785.68x = 143,459,817.04
  5. Step 5: Solve for x
    x = 143,459,817.04/14,785.68
  6. Step 6: Final answer
    x = 9,702.62

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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.