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Finding the Fourth Proportional to 17,685.76, 24,409.81 and 10,137.15

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Solution

The fourth proportional to 17,685.76, 24,409.81 and 10,137.15 is: 13,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.76 : 24,409.81 = 10,137.15 : x
  2. Step 2: Convert to fraction form
    17,685.76/24,409.81 = 10,137.15/x
  3. Step 3: Cross multiply
    17,685.76x = 24,409.81 × 10,137.15
  4. Step 4: Simplify right side
    17,685.76x = 247,445,783.39
  5. Step 5: Solve for x
    x = 247,445,783.39/17,685.76
  6. Step 6: Final answer
    x = 13,991.25

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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.