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Finding the Fourth Proportional to 12,303.96, 18,442.98 and 6,135

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Solution

The fourth proportional to 12,303.96, 18,442.98 and 6,135 is: 9,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.96 : 18,442.98 = 6,135 : x
  2. Step 2: Convert to fraction form
    12,303.96/18,442.98 = 6,135/x
  3. Step 3: Cross multiply
    12,303.96x = 18,442.98 × 6,135
  4. Step 4: Simplify right side
    12,303.96x = 113,147,682.30
  5. Step 5: Solve for x
    x = 113,147,682.30/12,303.96
  6. Step 6: Final answer
    x = 9,196.04

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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.