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Finding the Fourth Proportional to 17,802.78, 24,565.44 and 9,844.53

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Solution

The fourth proportional to 17,802.78, 24,565.44 and 9,844.53 is: 13,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.78 : 24,565.44 = 9,844.53 : x
  2. Step 2: Convert to fraction form
    17,802.78/24,565.44 = 9,844.53/x
  3. Step 3: Cross multiply
    17,802.78x = 24,565.44 × 9,844.53
  4. Step 4: Simplify right side
    17,802.78x = 241,835,211.04
  5. Step 5: Solve for x
    x = 241,835,211.04/17,802.78
  6. Step 6: Final answer
    x = 13,584.13

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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.