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Finding the Fourth Proportional to 21,758.58, 30,024.14 and 13,257.61

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Solution

The fourth proportional to 21,758.58, 30,024.14 and 13,257.61 is: 18,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.58 : 30,024.14 = 13,257.61 : x
  2. Step 2: Convert to fraction form
    21,758.58/30,024.14 = 13,257.61/x
  3. Step 3: Cross multiply
    21,758.58x = 30,024.14 × 13,257.61
  4. Step 4: Simplify right side
    21,758.58x = 398,048,338.71
  5. Step 5: Solve for x
    x = 398,048,338.71/21,758.58
  6. Step 6: Final answer
    x = 18,293.86

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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.