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Finding the Fourth Proportional to 12,782.61, 19,176.35 and 4,015.17

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Solution

The fourth proportional to 12,782.61, 19,176.35 and 4,015.17 is: 6,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.61 : 19,176.35 = 4,015.17 : x
  2. Step 2: Convert to fraction form
    12,782.61/19,176.35 = 4,015.17/x
  3. Step 3: Cross multiply
    12,782.61x = 19,176.35 × 4,015.17
  4. Step 4: Simplify right side
    12,782.61x = 76,996,285.15
  5. Step 5: Solve for x
    x = 76,996,285.15/12,782.61
  6. Step 6: Final answer
    x = 6,023.52

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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.