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Finding the Fourth Proportional to 15,841.78, 23,761.05 and 4,155.00

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Solution

The fourth proportional to 15,841.78, 23,761.05 and 4,155.00 is: 6,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.78 : 23,761.05 = 4,155.00 : x
  2. Step 2: Convert to fraction form
    15,841.78/23,761.05 = 4,155.00/x
  3. Step 3: Cross multiply
    15,841.78x = 23,761.05 × 4,155.00
  4. Step 4: Simplify right side
    15,841.78x = 98,727,058.06
  5. Step 5: Solve for x
    x = 98,727,058.06/15,841.78
  6. Step 6: Final answer
    x = 6,232.07

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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.