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Finding the Fourth Proportional to 23,926.41, 33,017.04 and 13,854.15

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Solution

The fourth proportional to 23,926.41, 33,017.04 and 13,854.15 is: 19,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,926.41 : 33,017.04 = 13,854.15 : x
  2. Step 2: Convert to fraction form
    23,926.41/33,017.04 = 13,854.15/x
  3. Step 3: Cross multiply
    23,926.41x = 33,017.04 × 13,854.15
  4. Step 4: Simplify right side
    23,926.41x = 457,423,024.72
  5. Step 5: Solve for x
    x = 457,423,024.72/23,926.41
  6. Step 6: Final answer
    x = 19,117.91

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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.