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Finding the Fourth Proportional to 24,467.34, 36,701 and 6,937.32

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Solution

The fourth proportional to 24,467.34, 36,701 and 6,937.32 is: 10,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.34 : 36,701 = 6,937.32 : x
  2. Step 2: Convert to fraction form
    24,467.34/36,701 = 6,937.32/x
  3. Step 3: Cross multiply
    24,467.34x = 36,701 × 6,937.32
  4. Step 4: Simplify right side
    24,467.34x = 254,606,581.32
  5. Step 5: Solve for x
    x = 254,606,581.32/24,467.34
  6. Step 6: Final answer
    x = 10,405.98

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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.