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Finding the Fourth Proportional to 17,802.13, 24,563.38 and 9,842.82

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Solution

The fourth proportional to 17,802.13, 24,563.38 and 9,842.82 is: 13,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.13 : 24,563.38 = 9,842.82 : x
  2. Step 2: Convert to fraction form
    17,802.13/24,563.38 = 9,842.82/x
  3. Step 3: Cross multiply
    17,802.13x = 24,563.38 × 9,842.82
  4. Step 4: Simplify right side
    17,802.13x = 241,772,927.93
  5. Step 5: Solve for x
    x = 241,772,927.93/17,802.13
  6. Step 6: Final answer
    x = 13,581.12

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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.