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Finding the Fourth Proportional to 27,539.68, 41,257.68 and 13,698.40

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Solution

The fourth proportional to 27,539.68, 41,257.68 and 13,698.40 is: 20,521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,539.68 : 41,257.68 = 13,698.40 : x
  2. Step 2: Convert to fraction form
    27,539.68/41,257.68 = 13,698.40/x
  3. Step 3: Cross multiply
    27,539.68x = 41,257.68 × 13,698.40
  4. Step 4: Simplify right side
    27,539.68x = 565,164,203.71
  5. Step 5: Solve for x
    x = 565,164,203.71/27,539.68
  6. Step 6: Final answer
    x = 20,521.81

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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.