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Finding the Fourth Proportional to 15,758.58, 21,740 and 9,381.59

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Solution

The fourth proportional to 15,758.58, 21,740 and 9,381.59 is: 12,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.58 : 21,740 = 9,381.59 : x
  2. Step 2: Convert to fraction form
    15,758.58/21,740 = 9,381.59/x
  3. Step 3: Cross multiply
    15,758.58x = 21,740 × 9,381.59
  4. Step 4: Simplify right side
    15,758.58x = 203,955,766.60
  5. Step 5: Solve for x
    x = 203,955,766.60/15,758.58
  6. Step 6: Final answer
    x = 12,942.52

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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.