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Finding the Fourth Proportional to 15,894.44, 23,842.16 and 7,575.36

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Solution

The fourth proportional to 15,894.44, 23,842.16 and 7,575.36 is: 11,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.44 : 23,842.16 = 7,575.36 : x
  2. Step 2: Convert to fraction form
    15,894.44/23,842.16 = 7,575.36/x
  3. Step 3: Cross multiply
    15,894.44x = 23,842.16 × 7,575.36
  4. Step 4: Simplify right side
    15,894.44x = 180,612,945.18
  5. Step 5: Solve for x
    x = 180,612,945.18/15,894.44
  6. Step 6: Final answer
    x = 11,363.28

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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.