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Finding the Fourth Proportional to 17,624.64, 24,324.36 and 10,069.56

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Solution

The fourth proportional to 17,624.64, 24,324.36 and 10,069.56 is: 13,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.64 : 24,324.36 = 10,069.56 : x
  2. Step 2: Convert to fraction form
    17,624.64/24,324.36 = 10,069.56/x
  3. Step 3: Cross multiply
    17,624.64x = 24,324.36 × 10,069.56
  4. Step 4: Simplify right side
    17,624.64x = 244,935,602.48
  5. Step 5: Solve for x
    x = 244,935,602.48/17,624.64
  6. Step 6: Final answer
    x = 13,897.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.