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Finding the Fourth Proportional to 22,965.76, 31,707.84 and 14,480.64

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Solution

The fourth proportional to 22,965.76, 31,707.84 and 14,480.64 is: 19,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.76 : 31,707.84 = 14,480.64 : x
  2. Step 2: Convert to fraction form
    22,965.76/31,707.84 = 14,480.64/x
  3. Step 3: Cross multiply
    22,965.76x = 31,707.84 × 14,480.64
  4. Step 4: Simplify right side
    22,965.76x = 459,149,816.22
  5. Step 5: Solve for x
    x = 459,149,816.22/22,965.76
  6. Step 6: Final answer
    x = 19,992.80

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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.