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Finding the Fourth Proportional to 21,502.80, 32,256.23 and 8,356.19

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Solution

The fourth proportional to 21,502.80, 32,256.23 and 8,356.19 is: 12,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.80 : 32,256.23 = 8,356.19 : x
  2. Step 2: Convert to fraction form
    21,502.80/32,256.23 = 8,356.19/x
  3. Step 3: Cross multiply
    21,502.80x = 32,256.23 × 8,356.19
  4. Step 4: Simplify right side
    21,502.80x = 269,538,983.50
  5. Step 5: Solve for x
    x = 269,538,983.50/21,502.80
  6. Step 6: Final answer
    x = 12,535.06

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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.