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Finding the Fourth Proportional to 17,726.60, 24,463.78 and 9,769.56

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Solution

The fourth proportional to 17,726.60, 24,463.78 and 9,769.56 is: 13,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.60 : 24,463.78 = 9,769.56 : x
  2. Step 2: Convert to fraction form
    17,726.60/24,463.78 = 9,769.56/x
  3. Step 3: Cross multiply
    17,726.60x = 24,463.78 × 9,769.56
  4. Step 4: Simplify right side
    17,726.60x = 239,000,366.54
  5. Step 5: Solve for x
    x = 239,000,366.54/17,726.60
  6. Step 6: Final answer
    x = 13,482.58

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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.