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Finding the Fourth Proportional to 16,427.08, 24,642.30 and 4,742.08

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Solution

The fourth proportional to 16,427.08, 24,642.30 and 4,742.08 is: 7,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.08 : 24,642.30 = 4,742.08 : x
  2. Step 2: Convert to fraction form
    16,427.08/24,642.30 = 4,742.08/x
  3. Step 3: Cross multiply
    16,427.08x = 24,642.30 × 4,742.08
  4. Step 4: Simplify right side
    16,427.08x = 116,855,757.98
  5. Step 5: Solve for x
    x = 116,855,757.98/16,427.08
  6. Step 6: Final answer
    x = 7,113.60

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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.