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Finding the Fourth Proportional to 14,197.60, 19,571.68 and 9,092.58

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Solution

The fourth proportional to 14,197.60, 19,571.68 and 9,092.58 is: 12,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.60 : 19,571.68 = 9,092.58 : x
  2. Step 2: Convert to fraction form
    14,197.60/19,571.68 = 9,092.58/x
  3. Step 3: Cross multiply
    14,197.60x = 19,571.68 × 9,092.58
  4. Step 4: Simplify right side
    14,197.60x = 177,957,066.13
  5. Step 5: Solve for x
    x = 177,957,066.13/14,197.60
  6. Step 6: Final answer
    x = 12,534.31

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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.