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Finding the Fourth Proportional to 17,806.74, 24,574.15 and 10,255.51

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Solution

The fourth proportional to 17,806.74, 24,574.15 and 10,255.51 is: 14,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.74 : 24,574.15 = 10,255.51 : x
  2. Step 2: Convert to fraction form
    17,806.74/24,574.15 = 10,255.51/x
  3. Step 3: Cross multiply
    17,806.74x = 24,574.15 × 10,255.51
  4. Step 4: Simplify right side
    17,806.74x = 252,020,484.60
  5. Step 5: Solve for x
    x = 252,020,484.60/17,806.74
  6. Step 6: Final answer
    x = 14,153.10

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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.