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Finding the Fourth Proportional to 17,801.32, 24,562.92 and 9,842

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Solution

The fourth proportional to 17,801.32, 24,562.92 and 9,842 is: 13,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,801.32 : 24,562.92 = 9,842 : x
  2. Step 2: Convert to fraction form
    17,801.32/24,562.92 = 9,842/x
  3. Step 3: Cross multiply
    17,801.32x = 24,562.92 × 9,842
  4. Step 4: Simplify right side
    17,801.32x = 241,748,258.64
  5. Step 5: Solve for x
    x = 241,748,258.64/17,801.32
  6. Step 6: Final answer
    x = 13,580.36

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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.