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Finding the Fourth Proportional to 14,402.13, 21,603.20 and 6,194.13

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Solution

The fourth proportional to 14,402.13, 21,603.20 and 6,194.13 is: 9,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.13 : 21,603.20 = 6,194.13 : x
  2. Step 2: Convert to fraction form
    14,402.13/21,603.20 = 6,194.13/x
  3. Step 3: Cross multiply
    14,402.13x = 21,603.20 × 6,194.13
  4. Step 4: Simplify right side
    14,402.13x = 133,813,029.22
  5. Step 5: Solve for x
    x = 133,813,029.22/14,402.13
  6. Step 6: Final answer
    x = 9,291.20

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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.