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Finding the Fourth Proportional to 13,578.72, 20,275.68 and 11,984.16

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Solution

The fourth proportional to 13,578.72, 20,275.68 and 11,984.16 is: 17,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.72 : 20,275.68 = 11,984.16 : x
  2. Step 2: Convert to fraction form
    13,578.72/20,275.68 = 11,984.16/x
  3. Step 3: Cross multiply
    13,578.72x = 20,275.68 × 11,984.16
  4. Step 4: Simplify right side
    13,578.72x = 242,986,993.23
  5. Step 5: Solve for x
    x = 242,986,993.23/13,578.72
  6. Step 6: Final answer
    x = 17,894.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.