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Finding the Fourth Proportional to 17,586.92, 26,345.05 and 8,214.01

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Solution

The fourth proportional to 17,586.92, 26,345.05 and 8,214.01 is: 12,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.92 : 26,345.05 = 8,214.01 : x
  2. Step 2: Convert to fraction form
    17,586.92/26,345.05 = 8,214.01/x
  3. Step 3: Cross multiply
    17,586.92x = 26,345.05 × 8,214.01
  4. Step 4: Simplify right side
    17,586.92x = 216,398,417.75
  5. Step 5: Solve for x
    x = 216,398,417.75/17,586.92
  6. Step 6: Final answer
    x = 12,304.51

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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.