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Finding the Fourth Proportional to 14,080.86, 19,413.95 and 9,036.18

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Solution

The fourth proportional to 14,080.86, 19,413.95 and 9,036.18 is: 12,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.86 : 19,413.95 = 9,036.18 : x
  2. Step 2: Convert to fraction form
    14,080.86/19,413.95 = 9,036.18/x
  3. Step 3: Cross multiply
    14,080.86x = 19,413.95 × 9,036.18
  4. Step 4: Simplify right side
    14,080.86x = 175,427,901.53
  5. Step 5: Solve for x
    x = 175,427,901.53/14,080.86
  6. Step 6: Final answer
    x = 12,458.61

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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.