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Finding the Fourth Proportional to 22,683.60, 34,009.20 and 10,193.40

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Solution

The fourth proportional to 22,683.60, 34,009.20 and 10,193.40 is: 15,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.60 : 34,009.20 = 10,193.40 : x
  2. Step 2: Convert to fraction form
    22,683.60/34,009.20 = 10,193.40/x
  3. Step 3: Cross multiply
    22,683.60x = 34,009.20 × 10,193.40
  4. Step 4: Simplify right side
    22,683.60x = 346,669,379.28
  5. Step 5: Solve for x
    x = 346,669,379.28/22,683.60
  6. Step 6: Final answer
    x = 15,282.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.