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Finding the Fourth Proportional to 17,802.75, 24,566.40 and 9,845.04

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Solution

The fourth proportional to 17,802.75, 24,566.40 and 9,845.04 is: 13,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.75 : 24,566.40 = 9,845.04 : x
  2. Step 2: Convert to fraction form
    17,802.75/24,566.40 = 9,845.04/x
  3. Step 3: Cross multiply
    17,802.75x = 24,566.40 × 9,845.04
  4. Step 4: Simplify right side
    17,802.75x = 241,857,190.66
  5. Step 5: Solve for x
    x = 241,857,190.66/17,802.75
  6. Step 6: Final answer
    x = 13,585.38

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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.