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Finding the Fourth Proportional to 14,074.95, 21,097.23 and 9,148.14

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Solution

The fourth proportional to 14,074.95, 21,097.23 and 9,148.14 is: 13,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.95 : 21,097.23 = 9,148.14 : x
  2. Step 2: Convert to fraction form
    14,074.95/21,097.23 = 9,148.14/x
  3. Step 3: Cross multiply
    14,074.95x = 21,097.23 × 9,148.14
  4. Step 4: Simplify right side
    14,074.95x = 193,000,413.65
  5. Step 5: Solve for x
    x = 193,000,413.65/14,074.95
  6. Step 6: Final answer
    x = 13,712.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.