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Finding the Fourth Proportional to 17,463.64, 24,100.44 and 9,910

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Solution

The fourth proportional to 17,463.64, 24,100.44 and 9,910 is: 13,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,463.64 : 24,100.44 = 9,910 : x
  2. Step 2: Convert to fraction form
    17,463.64/24,100.44 = 9,910/x
  3. Step 3: Cross multiply
    17,463.64x = 24,100.44 × 9,910
  4. Step 4: Simplify right side
    17,463.64x = 238,835,360.40
  5. Step 5: Solve for x
    x = 238,835,360.40/17,463.64
  6. Step 6: Final answer
    x = 13,676.15

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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.