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Finding the Fourth Proportional to 16,352, 24,536.12 and 6,491.04

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Solution

The fourth proportional to 16,352, 24,536.12 and 6,491.04 is: 9,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352 : 24,536.12 = 6,491.04 : x
  2. Step 2: Convert to fraction form
    16,352/24,536.12 = 6,491.04/x
  3. Step 3: Cross multiply
    16,352x = 24,536.12 × 6,491.04
  4. Step 4: Simplify right side
    16,352x = 159,264,936.36
  5. Step 5: Solve for x
    x = 159,264,936.36/16,352
  6. Step 6: Final answer
    x = 9,739.78

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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.