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Finding the Fourth Proportional to 13,578.79, 20,390.76 and 9,164.85

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Solution

The fourth proportional to 13,578.79, 20,390.76 and 9,164.85 is: 13,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.79 : 20,390.76 = 9,164.85 : x
  2. Step 2: Convert to fraction form
    13,578.79/20,390.76 = 9,164.85/x
  3. Step 3: Cross multiply
    13,578.79x = 20,390.76 × 9,164.85
  4. Step 4: Simplify right side
    13,578.79x = 186,878,206.10
  5. Step 5: Solve for x
    x = 186,878,206.10/13,578.79
  6. Step 6: Final answer
    x = 13,762.51

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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.