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Finding the Fourth Proportional to 21,713.31, 32,574.87 and 6,923.07

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Solution

The fourth proportional to 21,713.31, 32,574.87 and 6,923.07 is: 10,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713.31 : 32,574.87 = 6,923.07 : x
  2. Step 2: Convert to fraction form
    21,713.31/32,574.87 = 6,923.07/x
  3. Step 3: Cross multiply
    21,713.31x = 32,574.87 × 6,923.07
  4. Step 4: Simplify right side
    21,713.31x = 225,518,105.25
  5. Step 5: Solve for x
    x = 225,518,105.25/21,713.31
  6. Step 6: Final answer
    x = 10,386.17

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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.