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Finding the Fourth Proportional to 13,223.52, 19,805.04 and 8,592.48

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Solution

The fourth proportional to 13,223.52, 19,805.04 and 8,592.48 is: 12,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.52 : 19,805.04 = 8,592.48 : x
  2. Step 2: Convert to fraction form
    13,223.52/19,805.04 = 8,592.48/x
  3. Step 3: Cross multiply
    13,223.52x = 19,805.04 × 8,592.48
  4. Step 4: Simplify right side
    13,223.52x = 170,174,410.10
  5. Step 5: Solve for x
    x = 170,174,410.10/13,223.52
  6. Step 6: Final answer
    x = 12,869.07

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1.5x scale

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.