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Finding the Fourth Proportional to 14,598.12, 21,913.56 and 5,839.14

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Solution

The fourth proportional to 14,598.12, 21,913.56 and 5,839.14 is: 8,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598.12 : 21,913.56 = 5,839.14 : x
  2. Step 2: Convert to fraction form
    14,598.12/21,913.56 = 5,839.14/x
  3. Step 3: Cross multiply
    14,598.12x = 21,913.56 × 5,839.14
  4. Step 4: Simplify right side
    14,598.12x = 127,956,344.74
  5. Step 5: Solve for x
    x = 127,956,344.74/14,598.12
  6. Step 6: Final answer
    x = 8,765.26

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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.