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Finding the Fourth Proportional to 12,932.16, 19,394.02 and 4,165.02

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Solution

The fourth proportional to 12,932.16, 19,394.02 and 4,165.02 is: 6,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.16 : 19,394.02 = 4,165.02 : x
  2. Step 2: Convert to fraction form
    12,932.16/19,394.02 = 4,165.02/x
  3. Step 3: Cross multiply
    12,932.16x = 19,394.02 × 4,165.02
  4. Step 4: Simplify right side
    12,932.16x = 80,776,481.18
  5. Step 5: Solve for x
    x = 80,776,481.18/12,932.16
  6. Step 6: Final answer
    x = 6,246.17

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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.