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Finding the Fourth Proportional to 16,158.25, 22,298.66 and 9,785.04

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Solution

The fourth proportional to 16,158.25, 22,298.66 and 9,785.04 is: 13,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.25 : 22,298.66 = 9,785.04 : x
  2. Step 2: Convert to fraction form
    16,158.25/22,298.66 = 9,785.04/x
  3. Step 3: Cross multiply
    16,158.25x = 22,298.66 × 9,785.04
  4. Step 4: Simplify right side
    16,158.25x = 218,193,280.05
  5. Step 5: Solve for x
    x = 218,193,280.05/16,158.25
  6. Step 6: Final answer
    x = 13,503.52

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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.