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Finding the Fourth Proportional to 22,709.48, 34,005.90 and 13,917.74

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Solution

The fourth proportional to 22,709.48, 34,005.90 and 13,917.74 is: 20,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.48 : 34,005.90 = 13,917.74 : x
  2. Step 2: Convert to fraction form
    22,709.48/34,005.90 = 13,917.74/x
  3. Step 3: Cross multiply
    22,709.48x = 34,005.90 × 13,917.74
  4. Step 4: Simplify right side
    22,709.48x = 473,285,274.67
  5. Step 5: Solve for x
    x = 473,285,274.67/22,709.48
  6. Step 6: Final answer
    x = 20,840.87

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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.