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Finding the Fourth Proportional to 21,673.68, 32,510.40 and 6,882.26

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Solution

The fourth proportional to 21,673.68, 32,510.40 and 6,882.26 is: 10,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673.68 : 32,510.40 = 6,882.26 : x
  2. Step 2: Convert to fraction form
    21,673.68/32,510.40 = 6,882.26/x
  3. Step 3: Cross multiply
    21,673.68x = 32,510.40 × 6,882.26
  4. Step 4: Simplify right side
    21,673.68x = 223,745,025.50
  5. Step 5: Solve for x
    x = 223,745,025.50/21,673.68
  6. Step 6: Final answer
    x = 10,323.35

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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.