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Finding the Fourth Proportional to 14,510.08, 20,023.96 and 8,222.44

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Solution

The fourth proportional to 14,510.08, 20,023.96 and 8,222.44 is: 11,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.08 : 20,023.96 = 8,222.44 : x
  2. Step 2: Convert to fraction form
    14,510.08/20,023.96 = 8,222.44/x
  3. Step 3: Cross multiply
    14,510.08x = 20,023.96 × 8,222.44
  4. Step 4: Simplify right side
    14,510.08x = 164,645,809.66
  5. Step 5: Solve for x
    x = 164,645,809.66/14,510.08
  6. Step 6: Final answer
    x = 11,347.00

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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.