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Finding the Fourth Proportional to 22,363.70, 30,849.02 and 13,406.00

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Solution

The fourth proportional to 22,363.70, 30,849.02 and 13,406.00 is: 18,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,363.70 : 30,849.02 = 13,406.00 : x
  2. Step 2: Convert to fraction form
    22,363.70/30,849.02 = 13,406.00/x
  3. Step 3: Cross multiply
    22,363.70x = 30,849.02 × 13,406.00
  4. Step 4: Simplify right side
    22,363.70x = 413,561,740.84
  5. Step 5: Solve for x
    x = 413,561,740.84/22,363.70
  6. Step 6: Final answer
    x = 18,492.55

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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.