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Finding the Fourth Proportional to 22,164.04, 30,578.64 and 14,210.65

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Solution

The fourth proportional to 22,164.04, 30,578.64 and 14,210.65 is: 19,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.04 : 30,578.64 = 14,210.65 : x
  2. Step 2: Convert to fraction form
    22,164.04/30,578.64 = 14,210.65/x
  3. Step 3: Cross multiply
    22,164.04x = 30,578.64 × 14,210.65
  4. Step 4: Simplify right side
    22,164.04x = 434,542,350.52
  5. Step 5: Solve for x
    x = 434,542,350.52/22,164.04
  6. Step 6: Final answer
    x = 19,605.74

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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.