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Finding the Fourth Proportional to 16,101.25, 24,152.69 and 5,713.81

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Solution

The fourth proportional to 16,101.25, 24,152.69 and 5,713.81 is: 8,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.25 : 24,152.69 = 5,713.81 : x
  2. Step 2: Convert to fraction form
    16,101.25/24,152.69 = 5,713.81/x
  3. Step 3: Cross multiply
    16,101.25x = 24,152.69 × 5,713.81
  4. Step 4: Simplify right side
    16,101.25x = 138,003,881.65
  5. Step 5: Solve for x
    x = 138,003,881.65/16,101.25
  6. Step 6: Final answer
    x = 8,571.00

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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.