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Finding the Fourth Proportional to 12,864.90, 19,295.55 and 4,100.70

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Solution

The fourth proportional to 12,864.90, 19,295.55 and 4,100.70 is: 6,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.90 : 19,295.55 = 4,100.70 : x
  2. Step 2: Convert to fraction form
    12,864.90/19,295.55 = 4,100.70/x
  3. Step 3: Cross multiply
    12,864.90x = 19,295.55 × 4,100.70
  4. Step 4: Simplify right side
    12,864.90x = 79,125,261.89
  5. Step 5: Solve for x
    x = 79,125,261.89/12,864.90
  6. Step 6: Final answer
    x = 6,150.48

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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.