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Finding the Fourth Proportional to 24,141.84, 36,203.88 and 8,342.88

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Solution

The fourth proportional to 24,141.84, 36,203.88 and 8,342.88 is: 12,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,141.84 : 36,203.88 = 8,342.88 : x
  2. Step 2: Convert to fraction form
    24,141.84/36,203.88 = 8,342.88/x
  3. Step 3: Cross multiply
    24,141.84x = 36,203.88 × 8,342.88
  4. Step 4: Simplify right side
    24,141.84x = 302,044,626.37
  5. Step 5: Solve for x
    x = 302,044,626.37/24,141.84
  6. Step 6: Final answer
    x = 12,511.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.