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Finding the Fourth Proportional to 14,578.05, 20,107.05 and 9,534.18

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Solution

The fourth proportional to 14,578.05, 20,107.05 and 9,534.18 is: 13,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.05 : 20,107.05 = 9,534.18 : x
  2. Step 2: Convert to fraction form
    14,578.05/20,107.05 = 9,534.18/x
  3. Step 3: Cross multiply
    14,578.05x = 20,107.05 × 9,534.18
  4. Step 4: Simplify right side
    14,578.05x = 191,704,233.97
  5. Step 5: Solve for x
    x = 191,704,233.97/14,578.05
  6. Step 6: Final answer
    x = 13,150.20

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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.