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Finding the Fourth Proportional to 23,073.65, 31,841.65 and 12,463.28

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Solution

The fourth proportional to 23,073.65, 31,841.65 and 12,463.28 is: 17,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073.65 : 31,841.65 = 12,463.28 : x
  2. Step 2: Convert to fraction form
    23,073.65/31,841.65 = 12,463.28/x
  3. Step 3: Cross multiply
    23,073.65x = 31,841.65 × 12,463.28
  4. Step 4: Simplify right side
    23,073.65x = 396,851,448.06
  5. Step 5: Solve for x
    x = 396,851,448.06/23,073.65
  6. Step 6: Final answer
    x = 17,199.34

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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.