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Finding the Fourth Proportional to 23,925.80, 33,019.10 and 13,857.71

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Solution

The fourth proportional to 23,925.80, 33,019.10 and 13,857.71 is: 19,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,925.80 : 33,019.10 = 13,857.71 : x
  2. Step 2: Convert to fraction form
    23,925.80/33,019.10 = 13,857.71/x
  3. Step 3: Cross multiply
    23,925.80x = 33,019.10 × 13,857.71
  4. Step 4: Simplify right side
    23,925.80x = 457,568,877.88
  5. Step 5: Solve for x
    x = 457,568,877.88/23,925.80
  6. Step 6: Final answer
    x = 19,124.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.