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Finding the Fourth Proportional to 21,979.71, 32,973.62 and 7,189.45

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Solution

The fourth proportional to 21,979.71, 32,973.62 and 7,189.45 is: 10,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,979.71 : 32,973.62 = 7,189.45 : x
  2. Step 2: Convert to fraction form
    21,979.71/32,973.62 = 7,189.45/x
  3. Step 3: Cross multiply
    21,979.71x = 32,973.62 × 7,189.45
  4. Step 4: Simplify right side
    21,979.71x = 237,062,073.93
  5. Step 5: Solve for x
    x = 237,062,073.93/21,979.71
  6. Step 6: Final answer
    x = 10,785.50

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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.