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Finding the Fourth Proportional to 24,048, 33,186.24 and 15,678.72

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Solution

The fourth proportional to 24,048, 33,186.24 and 15,678.72 is: 21,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,048 : 33,186.24 = 15,678.72 : x
  2. Step 2: Convert to fraction form
    24,048/33,186.24 = 15,678.72/x
  3. Step 3: Cross multiply
    24,048x = 33,186.24 × 15,678.72
  4. Step 4: Simplify right side
    24,048x = 520,317,764.81
  5. Step 5: Solve for x
    x = 520,317,764.81/24,048
  6. Step 6: Final answer
    x = 21,636.63

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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.