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Finding the Fourth Proportional to 14,510.88, 20,023.62 and 8,223.24

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Solution

The fourth proportional to 14,510.88, 20,023.62 and 8,223.24 is: 11,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.88 : 20,023.62 = 8,223.24 : x
  2. Step 2: Convert to fraction form
    14,510.88/20,023.62 = 8,223.24/x
  3. Step 3: Cross multiply
    14,510.88x = 20,023.62 × 8,223.24
  4. Step 4: Simplify right side
    14,510.88x = 164,659,032.93
  5. Step 5: Solve for x
    x = 164,659,032.93/14,510.88
  6. Step 6: Final answer
    x = 11,347.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.