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Finding the Fourth Proportional to 23,931.36, 35,887.20 and 10,780.20

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Solution

The fourth proportional to 23,931.36, 35,887.20 and 10,780.20 is: 16,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,931.36 : 35,887.20 = 10,780.20 : x
  2. Step 2: Convert to fraction form
    23,931.36/35,887.20 = 10,780.20/x
  3. Step 3: Cross multiply
    23,931.36x = 35,887.20 × 10,780.20
  4. Step 4: Simplify right side
    23,931.36x = 386,871,193.44
  5. Step 5: Solve for x
    x = 386,871,193.44/23,931.36
  6. Step 6: Final answer
    x = 16,165.87

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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.