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Finding the Fourth Proportional to 24,356.31, 33,611.71 and 13,178.31

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Solution

The fourth proportional to 24,356.31, 33,611.71 and 13,178.31 is: 18,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.31 : 33,611.71 = 13,178.31 : x
  2. Step 2: Convert to fraction form
    24,356.31/33,611.71 = 13,178.31/x
  3. Step 3: Cross multiply
    24,356.31x = 33,611.71 × 13,178.31
  4. Step 4: Simplify right side
    24,356.31x = 442,945,534.01
  5. Step 5: Solve for x
    x = 442,945,534.01/24,356.31
  6. Step 6: Final answer
    x = 18,186.07

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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.