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Finding the Fourth Proportional to 12,770.49, 19,155.75 and 4,006.08

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Solution

The fourth proportional to 12,770.49, 19,155.75 and 4,006.08 is: 6,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.49 : 19,155.75 = 4,006.08 : x
  2. Step 2: Convert to fraction form
    12,770.49/19,155.75 = 4,006.08/x
  3. Step 3: Cross multiply
    12,770.49x = 19,155.75 × 4,006.08
  4. Step 4: Simplify right side
    12,770.49x = 76,739,466.96
  5. Step 5: Solve for x
    x = 76,739,466.96/12,770.49
  6. Step 6: Final answer
    x = 6,009.12

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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.