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Finding the Fourth Proportional to 10,010.46, 15,023.39 and 9,496.56

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Solution

The fourth proportional to 10,010.46, 15,023.39 and 9,496.56 is: 14,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.46 : 15,023.39 = 9,496.56 : x
  2. Step 2: Convert to fraction form
    10,010.46/15,023.39 = 9,496.56/x
  3. Step 3: Cross multiply
    10,010.46x = 15,023.39 × 9,496.56
  4. Step 4: Simplify right side
    10,010.46x = 142,670,477.06
  5. Step 5: Solve for x
    x = 142,670,477.06/10,010.46
  6. Step 6: Final answer
    x = 14,252.14

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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.