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Finding the Fourth Proportional to 14,499, 20,009.43 and 8,213.40

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Solution

The fourth proportional to 14,499, 20,009.43 and 8,213.40 is: 11,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,499 : 20,009.43 = 8,213.40 : x
  2. Step 2: Convert to fraction form
    14,499/20,009.43 = 8,213.40/x
  3. Step 3: Cross multiply
    14,499x = 20,009.43 × 8,213.40
  4. Step 4: Simplify right side
    14,499x = 164,345,452.36
  5. Step 5: Solve for x
    x = 164,345,452.36/14,499
  6. Step 6: Final answer
    x = 11,334.95

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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.