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Finding the Fourth Proportional to 14,130.38, 21,195.98 and 3,742.13

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Solution

The fourth proportional to 14,130.38, 21,195.98 and 3,742.13 is: 5,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.38 : 21,195.98 = 3,742.13 : x
  2. Step 2: Convert to fraction form
    14,130.38/21,195.98 = 3,742.13/x
  3. Step 3: Cross multiply
    14,130.38x = 21,195.98 × 3,742.13
  4. Step 4: Simplify right side
    14,130.38x = 79,317,987.95
  5. Step 5: Solve for x
    x = 79,317,987.95/14,130.38
  6. Step 6: Final answer
    x = 5,613.30

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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.