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Finding the Fourth Proportional to 14,057.42, 19,413.77 and 12,159.90

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Solution

The fourth proportional to 14,057.42, 19,413.77 and 12,159.90 is: 16,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.42 : 19,413.77 = 12,159.90 : x
  2. Step 2: Convert to fraction form
    14,057.42/19,413.77 = 12,159.90/x
  3. Step 3: Cross multiply
    14,057.42x = 19,413.77 × 12,159.90
  4. Step 4: Simplify right side
    14,057.42x = 236,069,343.95
  5. Step 5: Solve for x
    x = 236,069,343.95/14,057.42
  6. Step 6: Final answer
    x = 16,793.22

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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.