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Finding the Fourth Proportional to 17,812.36, 24,580.38 and 9,854.92

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Solution

The fourth proportional to 17,812.36, 24,580.38 and 9,854.92 is: 13,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812.36 : 24,580.38 = 9,854.92 : x
  2. Step 2: Convert to fraction form
    17,812.36/24,580.38 = 9,854.92/x
  3. Step 3: Cross multiply
    17,812.36x = 24,580.38 × 9,854.92
  4. Step 4: Simplify right side
    17,812.36x = 242,237,678.47
  5. Step 5: Solve for x
    x = 242,237,678.47/17,812.36
  6. Step 6: Final answer
    x = 13,599.42

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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.