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Finding the Fourth Proportional to 17,698.44, 24,424.16 and 10,146

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Solution

The fourth proportional to 17,698.44, 24,424.16 and 10,146 is: 14,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.44 : 24,424.16 = 10,146 : x
  2. Step 2: Convert to fraction form
    17,698.44/24,424.16 = 10,146/x
  3. Step 3: Cross multiply
    17,698.44x = 24,424.16 × 10,146
  4. Step 4: Simplify right side
    17,698.44x = 247,807,476.63
  5. Step 5: Solve for x
    x = 247,807,476.63/17,698.44
  6. Step 6: Final answer
    x = 14,001.66

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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.