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Finding the Fourth Proportional to 18,641.19, 25,724.74 and 10,683.21

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Solution

The fourth proportional to 18,641.19, 25,724.74 and 10,683.21 is: 14,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.19 : 25,724.74 = 10,683.21 : x
  2. Step 2: Convert to fraction form
    18,641.19/25,724.74 = 10,683.21/x
  3. Step 3: Cross multiply
    18,641.19x = 25,724.74 × 10,683.21
  4. Step 4: Simplify right side
    18,641.19x = 274,822,799.62
  5. Step 5: Solve for x
    x = 274,822,799.62/18,641.19
  6. Step 6: Final answer
    x = 14,742.77

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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.