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Finding the Fourth Proportional to 22,967.59, 31,698.74 and 14,020.30

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Solution

The fourth proportional to 22,967.59, 31,698.74 and 14,020.30 is: 19,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.59 : 31,698.74 = 14,020.30 : x
  2. Step 2: Convert to fraction form
    22,967.59/31,698.74 = 14,020.30/x
  3. Step 3: Cross multiply
    22,967.59x = 31,698.74 × 14,020.30
  4. Step 4: Simplify right side
    22,967.59x = 444,425,844.42
  5. Step 5: Solve for x
    x = 444,425,844.42/22,967.59
  6. Step 6: Final answer
    x = 19,350.13

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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.