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Finding the Fourth Proportional to 15,567, 23,350.70 and 5,178.75

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Solution

The fourth proportional to 15,567, 23,350.70 and 5,178.75 is: 7,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,567 : 23,350.70 = 5,178.75 : x
  2. Step 2: Convert to fraction form
    15,567/23,350.70 = 5,178.75/x
  3. Step 3: Cross multiply
    15,567x = 23,350.70 × 5,178.75
  4. Step 4: Simplify right side
    15,567x = 120,927,450.57
  5. Step 5: Solve for x
    x = 120,927,450.57/15,567
  6. Step 6: Final answer
    x = 7,768.19

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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.