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Finding the Fourth Proportional to 22,683.78, 31,319.19 and 14,189.58

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Solution

The fourth proportional to 22,683.78, 31,319.19 and 14,189.58 is: 19,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.78 : 31,319.19 = 14,189.58 : x
  2. Step 2: Convert to fraction form
    22,683.78/31,319.19 = 14,189.58/x
  3. Step 3: Cross multiply
    22,683.78x = 31,319.19 × 14,189.58
  4. Step 4: Simplify right side
    22,683.78x = 444,406,152.04
  5. Step 5: Solve for x
    x = 444,406,152.04/22,683.78
  6. Step 6: Final answer
    x = 19,591.36

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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.