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Finding the Fourth Proportional to 25,333.16, 37,966.62 and 13,621.16

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Solution

The fourth proportional to 25,333.16, 37,966.62 and 13,621.16 is: 20,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,333.16 : 37,966.62 = 13,621.16 : x
  2. Step 2: Convert to fraction form
    25,333.16/37,966.62 = 13,621.16/x
  3. Step 3: Cross multiply
    25,333.16x = 37,966.62 × 13,621.16
  4. Step 4: Simplify right side
    25,333.16x = 517,149,405.68
  5. Step 5: Solve for x
    x = 517,149,405.68/25,333.16
  6. Step 6: Final answer
    x = 20,413.93

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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.