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Finding the Fourth Proportional to 15,758.75, 23,639.41 and 5,228.35

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Solution

The fourth proportional to 15,758.75, 23,639.41 and 5,228.35 is: 7,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.75 : 23,639.41 = 5,228.35 : x
  2. Step 2: Convert to fraction form
    15,758.75/23,639.41 = 5,228.35/x
  3. Step 3: Cross multiply
    15,758.75x = 23,639.41 × 5,228.35
  4. Step 4: Simplify right side
    15,758.75x = 123,595,056.71
  5. Step 5: Solve for x
    x = 123,595,056.71/15,758.75
  6. Step 6: Final answer
    x = 7,842.95

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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.