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Finding the Fourth Proportional to 13,814.13, 20,721.19 and 4,580.13

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Solution

The fourth proportional to 13,814.13, 20,721.19 and 4,580.13 is: 6,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.13 : 20,721.19 = 4,580.13 : x
  2. Step 2: Convert to fraction form
    13,814.13/20,721.19 = 4,580.13/x
  3. Step 3: Cross multiply
    13,814.13x = 20,721.19 × 4,580.13
  4. Step 4: Simplify right side
    13,814.13x = 94,905,743.95
  5. Step 5: Solve for x
    x = 94,905,743.95/13,814.13
  6. Step 6: Final answer
    x = 6,870.19

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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.