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Finding the Fourth Proportional to 17,812.74, 24,581.60 and 9,855.51

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Solution

The fourth proportional to 17,812.74, 24,581.60 and 9,855.51 is: 13,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812.74 : 24,581.60 = 9,855.51 : x
  2. Step 2: Convert to fraction form
    17,812.74/24,581.60 = 9,855.51/x
  3. Step 3: Cross multiply
    17,812.74x = 24,581.60 × 9,855.51
  4. Step 4: Simplify right side
    17,812.74x = 242,264,155.34
  5. Step 5: Solve for x
    x = 242,264,155.34/17,812.74
  6. Step 6: Final answer
    x = 13,600.61

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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.