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Finding the Fourth Proportional to 22,687.71, 31,315.86 and 14,731.08

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Solution

The fourth proportional to 22,687.71, 31,315.86 and 14,731.08 is: 20,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,687.71 : 31,315.86 = 14,731.08 : x
  2. Step 2: Convert to fraction form
    22,687.71/31,315.86 = 14,731.08/x
  3. Step 3: Cross multiply
    22,687.71x = 31,315.86 × 14,731.08
  4. Step 4: Simplify right side
    22,687.71x = 461,316,438.93
  5. Step 5: Solve for x
    x = 461,316,438.93/22,687.71
  6. Step 6: Final answer
    x = 20,333.32

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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.