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Finding the Fourth Proportional to 22,704.86, 31,314.95 and 14,749.64

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Solution

The fourth proportional to 22,704.86, 31,314.95 and 14,749.64 is: 20,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704.86 : 31,314.95 = 14,749.64 : x
  2. Step 2: Convert to fraction form
    22,704.86/31,314.95 = 14,749.64/x
  3. Step 3: Cross multiply
    22,704.86x = 31,314.95 × 14,749.64
  4. Step 4: Simplify right side
    22,704.86x = 461,884,239.12
  5. Step 5: Solve for x
    x = 461,884,239.12/22,704.86
  6. Step 6: Final answer
    x = 20,342.97

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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.