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Finding the Fourth Proportional to 15,938.16, 21,993.36 and 8,864.64

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Solution

The fourth proportional to 15,938.16, 21,993.36 and 8,864.64 is: 12,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,938.16 : 21,993.36 = 8,864.64 : x
  2. Step 2: Convert to fraction form
    15,938.16/21,993.36 = 8,864.64/x
  3. Step 3: Cross multiply
    15,938.16x = 21,993.36 × 8,864.64
  4. Step 4: Simplify right side
    15,938.16x = 194,963,218.79
  5. Step 5: Solve for x
    x = 194,963,218.79/15,938.16
  6. Step 6: Final answer
    x = 12,232.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.