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Finding the Fourth Proportional to 13,223.80, 19,803.30 and 8,817.40

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Solution

The fourth proportional to 13,223.80, 19,803.30 and 8,817.40 is: 13,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.80 : 19,803.30 = 8,817.40 : x
  2. Step 2: Convert to fraction form
    13,223.80/19,803.30 = 8,817.40/x
  3. Step 3: Cross multiply
    13,223.80x = 19,803.30 × 8,817.40
  4. Step 4: Simplify right side
    13,223.80x = 174,613,617.42
  5. Step 5: Solve for x
    x = 174,613,617.42/13,223.80
  6. Step 6: Final answer
    x = 13,204.50

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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.