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Finding the Fourth Proportional to 15,488.72, 23,219.64 and 7,693.52

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Solution

The fourth proportional to 15,488.72, 23,219.64 and 7,693.52 is: 11,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,488.72 : 23,219.64 = 7,693.52 : x
  2. Step 2: Convert to fraction form
    15,488.72/23,219.64 = 7,693.52/x
  3. Step 3: Cross multiply
    15,488.72x = 23,219.64 × 7,693.52
  4. Step 4: Simplify right side
    15,488.72x = 178,640,764.73
  5. Step 5: Solve for x
    x = 178,640,764.73/15,488.72
  6. Step 6: Final answer
    x = 11,533.60

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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.