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Finding the Fourth Proportional to 22,888.64, 34,324.32 and 10,568

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Solution

The fourth proportional to 22,888.64, 34,324.32 and 10,568 is: 15,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,888.64 : 34,324.32 = 10,568 : x
  2. Step 2: Convert to fraction form
    22,888.64/34,324.32 = 10,568/x
  3. Step 3: Cross multiply
    22,888.64x = 34,324.32 × 10,568
  4. Step 4: Simplify right side
    22,888.64x = 362,739,413.76
  5. Step 5: Solve for x
    x = 362,739,413.76/22,888.64
  6. Step 6: Final answer
    x = 15,848.01

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Why These Related Problems?

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