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Finding the Fourth Proportional to 17,843.69, 24,618.71 and 10,289.00

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Solution

The fourth proportional to 17,843.69, 24,618.71 and 10,289.00 is: 14,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.69 : 24,618.71 = 10,289.00 : x
  2. Step 2: Convert to fraction form
    17,843.69/24,618.71 = 10,289.00/x
  3. Step 3: Cross multiply
    17,843.69x = 24,618.71 × 10,289.00
  4. Step 4: Simplify right side
    17,843.69x = 253,301,994.46
  5. Step 5: Solve for x
    x = 253,301,994.46/17,843.69
  6. Step 6: Final answer
    x = 14,195.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.