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Finding the Fourth Proportional to 14,065.20, 21,097.77 and 5,743.74

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Solution

The fourth proportional to 14,065.20, 21,097.77 and 5,743.74 is: 8,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.20 : 21,097.77 = 5,743.74 : x
  2. Step 2: Convert to fraction form
    14,065.20/21,097.77 = 5,743.74/x
  3. Step 3: Cross multiply
    14,065.20x = 21,097.77 × 5,743.74
  4. Step 4: Simplify right side
    14,065.20x = 121,180,105.46
  5. Step 5: Solve for x
    x = 121,180,105.46/14,065.20
  6. Step 6: Final answer
    x = 8,615.60

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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.