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Finding the Fourth Proportional to 12,670.63, 19,011.31 and 6,820.40

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Solution

The fourth proportional to 12,670.63, 19,011.31 and 6,820.40 is: 10,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.63 : 19,011.31 = 6,820.40 : x
  2. Step 2: Convert to fraction form
    12,670.63/19,011.31 = 6,820.40/x
  3. Step 3: Cross multiply
    12,670.63x = 19,011.31 × 6,820.40
  4. Step 4: Simplify right side
    12,670.63x = 129,664,769.20
  5. Step 5: Solve for x
    x = 129,664,769.20/12,670.63
  6. Step 6: Final answer
    x = 10,233.49

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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.