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Finding the Fourth Proportional to 10,624.48, 15,928 and 9,234.56

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Solution

The fourth proportional to 10,624.48, 15,928 and 9,234.56 is: 13,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.48 : 15,928 = 9,234.56 : x
  2. Step 2: Convert to fraction form
    10,624.48/15,928 = 9,234.56/x
  3. Step 3: Cross multiply
    10,624.48x = 15,928 × 9,234.56
  4. Step 4: Simplify right side
    10,624.48x = 147,088,071.68
  5. Step 5: Solve for x
    x = 147,088,071.68/10,624.48
  6. Step 6: Final answer
    x = 13,844.26

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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.