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Finding the Fourth Proportional to 17,822.12, 26,715.56 and 8,445.68

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Solution

The fourth proportional to 17,822.12, 26,715.56 and 8,445.68 is: 12,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.12 : 26,715.56 = 8,445.68 : x
  2. Step 2: Convert to fraction form
    17,822.12/26,715.56 = 8,445.68/x
  3. Step 3: Cross multiply
    17,822.12x = 26,715.56 × 8,445.68
  4. Step 4: Simplify right side
    17,822.12x = 225,631,070.78
  5. Step 5: Solve for x
    x = 225,631,070.78/17,822.12
  6. Step 6: Final answer
    x = 12,660.17

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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.