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Finding the Fourth Proportional to 14,578.80, 20,108.08 and 9,534.93

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Solution

The fourth proportional to 14,578.80, 20,108.08 and 9,534.93 is: 13,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.80 : 20,108.08 = 9,534.93 : x
  2. Step 2: Convert to fraction form
    14,578.80/20,108.08 = 9,534.93/x
  3. Step 3: Cross multiply
    14,578.80x = 20,108.08 × 9,534.93
  4. Step 4: Simplify right side
    14,578.80x = 191,729,135.23
  5. Step 5: Solve for x
    x = 191,729,135.23/14,578.80
  6. Step 6: Final answer
    x = 13,151.23

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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.