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Finding the Fourth Proportional to 12,798.21, 19,202.82 and 4,903.14

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Solution

The fourth proportional to 12,798.21, 19,202.82 and 4,903.14 is: 7,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.21 : 19,202.82 = 4,903.14 : x
  2. Step 2: Convert to fraction form
    12,798.21/19,202.82 = 4,903.14/x
  3. Step 3: Cross multiply
    12,798.21x = 19,202.82 × 4,903.14
  4. Step 4: Simplify right side
    12,798.21x = 94,154,114.85
  5. Step 5: Solve for x
    x = 94,154,114.85/12,798.21
  6. Step 6: Final answer
    x = 7,356.82

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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.