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Finding the Fourth Proportional to 12,776.81, 19,137.51 and 6,189.21

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Solution

The fourth proportional to 12,776.81, 19,137.51 and 6,189.21 is: 9,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.81 : 19,137.51 = 6,189.21 : x
  2. Step 2: Convert to fraction form
    12,776.81/19,137.51 = 6,189.21/x
  3. Step 3: Cross multiply
    12,776.81x = 19,137.51 × 6,189.21
  4. Step 4: Simplify right side
    12,776.81x = 118,446,068.27
  5. Step 5: Solve for x
    x = 118,446,068.27/12,776.81
  6. Step 6: Final answer
    x = 9,270.40

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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.