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Finding the Fourth Proportional to 22,614.96, 31,228.92 and 14,670

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Solution

The fourth proportional to 22,614.96, 31,228.92 and 14,670 is: 20,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.96 : 31,228.92 = 14,670 : x
  2. Step 2: Convert to fraction form
    22,614.96/31,228.92 = 14,670/x
  3. Step 3: Cross multiply
    22,614.96x = 31,228.92 × 14,670
  4. Step 4: Simplify right side
    22,614.96x = 458,128,256.40
  5. Step 5: Solve for x
    x = 458,128,256.40/22,614.96
  6. Step 6: Final answer
    x = 20,257.75

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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.