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Finding the Fourth Proportional to 14,098.53, 19,447.17 and 9,069.31

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Solution

The fourth proportional to 14,098.53, 19,447.17 and 9,069.31 is: 12,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.53 : 19,447.17 = 9,069.31 : x
  2. Step 2: Convert to fraction form
    14,098.53/19,447.17 = 9,069.31/x
  3. Step 3: Cross multiply
    14,098.53x = 19,447.17 × 9,069.31
  4. Step 4: Simplify right side
    14,098.53x = 176,372,413.35
  5. Step 5: Solve for x
    x = 176,372,413.35/14,098.53
  6. Step 6: Final answer
    x = 12,509.99

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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.