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Finding the Fourth Proportional to 26,214, 36,124.80 and 16,766.16

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Solution

The fourth proportional to 26,214, 36,124.80 and 16,766.16 is: 23,104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,214 : 36,124.80 = 16,766.16 : x
  2. Step 2: Convert to fraction form
    26,214/36,124.80 = 16,766.16/x
  3. Step 3: Cross multiply
    26,214x = 36,124.80 × 16,766.16
  4. Step 4: Simplify right side
    26,214x = 605,674,176.77
  5. Step 5: Solve for x
    x = 605,674,176.77/26,214
  6. Step 6: Final answer
    x = 23,104.99

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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.