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Finding the Fourth Proportional to 14,194.74, 21,292.14 and 5,430.54

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Solution

The fourth proportional to 14,194.74, 21,292.14 and 5,430.54 is: 8,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.74 : 21,292.14 = 5,430.54 : x
  2. Step 2: Convert to fraction form
    14,194.74/21,292.14 = 5,430.54/x
  3. Step 3: Cross multiply
    14,194.74x = 21,292.14 × 5,430.54
  4. Step 4: Simplify right side
    14,194.74x = 115,627,817.96
  5. Step 5: Solve for x
    x = 115,627,817.96/14,194.74
  6. Step 6: Final answer
    x = 8,145.82

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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.