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Finding the Fourth Proportional to 12,798.14, 19,199.96 and 6,228.02

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Solution

The fourth proportional to 12,798.14, 19,199.96 and 6,228.02 is: 9,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.14 : 19,199.96 = 6,228.02 : x
  2. Step 2: Convert to fraction form
    12,798.14/19,199.96 = 6,228.02/x
  3. Step 3: Cross multiply
    12,798.14x = 19,199.96 × 6,228.02
  4. Step 4: Simplify right side
    12,798.14x = 119,577,607.74
  5. Step 5: Solve for x
    x = 119,577,607.74/12,798.14
  6. Step 6: Final answer
    x = 9,343.36

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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.