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Finding the Fourth Proportional to 17,424, 24,064.92 and 11,825.28

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Solution

The fourth proportional to 17,424, 24,064.92 and 11,825.28 is: 16,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424 : 24,064.92 = 11,825.28 : x
  2. Step 2: Convert to fraction form
    17,424/24,064.92 = 11,825.28/x
  3. Step 3: Cross multiply
    17,424x = 24,064.92 × 11,825.28
  4. Step 4: Simplify right side
    17,424x = 284,574,417.18
  5. Step 5: Solve for x
    x = 284,574,417.18/17,424
  6. Step 6: Final answer
    x = 16,332.32

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Why These Related Problems?

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