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Finding the Fourth Proportional to 21,344.31, 32,016.47 and 7,304.51

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Solution

The fourth proportional to 21,344.31, 32,016.47 and 7,304.51 is: 10,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.31 : 32,016.47 = 7,304.51 : x
  2. Step 2: Convert to fraction form
    21,344.31/32,016.47 = 7,304.51/x
  3. Step 3: Cross multiply
    21,344.31x = 32,016.47 × 7,304.51
  4. Step 4: Simplify right side
    21,344.31x = 233,864,668.80
  5. Step 5: Solve for x
    x = 233,864,668.80/21,344.31
  6. Step 6: Final answer
    x = 10,956.77

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1.5x scale

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.