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Finding the Fourth Proportional to 12,920.30, 19,383.15 and 4,156.10

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Solution

The fourth proportional to 12,920.30, 19,383.15 and 4,156.10 is: 6,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.30 : 19,383.15 = 4,156.10 : x
  2. Step 2: Convert to fraction form
    12,920.30/19,383.15 = 4,156.10/x
  3. Step 3: Cross multiply
    12,920.30x = 19,383.15 × 4,156.10
  4. Step 4: Simplify right side
    12,920.30x = 80,558,309.72
  5. Step 5: Solve for x
    x = 80,558,309.72/12,920.30
  6. Step 6: Final answer
    x = 6,235.02

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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.