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Finding the Fourth Proportional to 15,817.80, 23,726.70 and 8,041.80

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Solution

The fourth proportional to 15,817.80, 23,726.70 and 8,041.80 is: 12,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.80 : 23,726.70 = 8,041.80 : x
  2. Step 2: Convert to fraction form
    15,817.80/23,726.70 = 8,041.80/x
  3. Step 3: Cross multiply
    15,817.80x = 23,726.70 × 8,041.80
  4. Step 4: Simplify right side
    15,817.80x = 190,805,376.06
  5. Step 5: Solve for x
    x = 190,805,376.06/15,817.80
  6. Step 6: Final answer
    x = 12,062.70

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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.