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Finding the Fourth Proportional to 22,328.64, 33,475.68 and 10,008

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Solution

The fourth proportional to 22,328.64, 33,475.68 and 10,008 is: 15,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,328.64 : 33,475.68 = 10,008 : x
  2. Step 2: Convert to fraction form
    22,328.64/33,475.68 = 10,008/x
  3. Step 3: Cross multiply
    22,328.64x = 33,475.68 × 10,008
  4. Step 4: Simplify right side
    22,328.64x = 335,024,605.44
  5. Step 5: Solve for x
    x = 335,024,605.44/22,328.64
  6. Step 6: Final answer
    x = 15,004.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.