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Finding the Fourth Proportional to 24,356, 33,611.28 and 13,178.08

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Solution

The fourth proportional to 24,356, 33,611.28 and 13,178.08 is: 18,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356 : 33,611.28 = 13,178.08 : x
  2. Step 2: Convert to fraction form
    24,356/33,611.28 = 13,178.08/x
  3. Step 3: Cross multiply
    24,356x = 33,611.28 × 13,178.08
  4. Step 4: Simplify right side
    24,356x = 442,932,136.74
  5. Step 5: Solve for x
    x = 442,932,136.74/24,356
  6. Step 6: Final answer
    x = 18,185.75

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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.