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Finding the Fourth Proportional to 12,341.70, 18,514.35 and 4,022.10

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Solution

The fourth proportional to 12,341.70, 18,514.35 and 4,022.10 is: 6,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.70 : 18,514.35 = 4,022.10 : x
  2. Step 2: Convert to fraction form
    12,341.70/18,514.35 = 4,022.10/x
  3. Step 3: Cross multiply
    12,341.70x = 18,514.35 × 4,022.10
  4. Step 4: Simplify right side
    12,341.70x = 74,466,567.14
  5. Step 5: Solve for x
    x = 74,466,567.14/12,341.70
  6. Step 6: Final answer
    x = 6,033.74

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