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Finding the Fourth Proportional to 13,215, 19,785.60 and 10,902.84

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Solution

The fourth proportional to 13,215, 19,785.60 and 10,902.84 is: 16,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215 : 19,785.60 = 10,902.84 : x
  2. Step 2: Convert to fraction form
    13,215/19,785.60 = 10,902.84/x
  3. Step 3: Cross multiply
    13,215x = 19,785.60 × 10,902.84
  4. Step 4: Simplify right side
    13,215x = 215,719,231.10
  5. Step 5: Solve for x
    x = 215,719,231.10/13,215
  6. Step 6: Final answer
    x = 16,323.82

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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.