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Finding the Fourth Proportional to 13,098.78, 19,648.37 and 7,292.30

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Solution

The fourth proportional to 13,098.78, 19,648.37 and 7,292.30 is: 10,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.78 : 19,648.37 = 7,292.30 : x
  2. Step 2: Convert to fraction form
    13,098.78/19,648.37 = 7,292.30/x
  3. Step 3: Cross multiply
    13,098.78x = 19,648.37 × 7,292.30
  4. Step 4: Simplify right side
    13,098.78x = 143,281,728.54
  5. Step 5: Solve for x
    x = 143,281,728.54/13,098.78
  6. Step 6: Final answer
    x = 10,938.56

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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.