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Finding the Fourth Proportional to 23,753.76, 35,663.04 and 12,075.24

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Solution

The fourth proportional to 23,753.76, 35,663.04 and 12,075.24 is: 18,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753.76 : 35,663.04 = 12,075.24 : x
  2. Step 2: Convert to fraction form
    23,753.76/35,663.04 = 12,075.24/x
  3. Step 3: Cross multiply
    23,753.76x = 35,663.04 × 12,075.24
  4. Step 4: Simplify right side
    23,753.76x = 430,639,767.13
  5. Step 5: Solve for x
    x = 430,639,767.13/23,753.76
  6. Step 6: Final answer
    x = 18,129.33

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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.