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Finding the Fourth Proportional to 22,165.67, 30,584.15 and 14,102.53

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Solution

The fourth proportional to 22,165.67, 30,584.15 and 14,102.53 is: 19,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.67 : 30,584.15 = 14,102.53 : x
  2. Step 2: Convert to fraction form
    22,165.67/30,584.15 = 14,102.53/x
  3. Step 3: Cross multiply
    22,165.67x = 30,584.15 × 14,102.53
  4. Step 4: Simplify right side
    22,165.67x = 431,313,798.81
  5. Step 5: Solve for x
    x = 431,313,798.81/22,165.67
  6. Step 6: Final answer
    x = 19,458.64

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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.