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Finding the Fourth Proportional to 14,413.68, 21,592.53 and 9,468.30

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Solution

The fourth proportional to 14,413.68, 21,592.53 and 9,468.30 is: 14,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.68 : 21,592.53 = 9,468.30 : x
  2. Step 2: Convert to fraction form
    14,413.68/21,592.53 = 9,468.30/x
  3. Step 3: Cross multiply
    14,413.68x = 21,592.53 × 9,468.30
  4. Step 4: Simplify right side
    14,413.68x = 204,444,551.80
  5. Step 5: Solve for x
    x = 204,444,551.80/14,413.68
  6. Step 6: Final answer
    x = 14,184.06

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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.