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Finding the Fourth Proportional to 12,833.70, 19,214.10 and 12,833.70

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Solution

The fourth proportional to 12,833.70, 19,214.10 and 12,833.70 is: 19,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.70 : 19,214.10 = 12,833.70 : x
  2. Step 2: Convert to fraction form
    12,833.70/19,214.10 = 12,833.70/x
  3. Step 3: Cross multiply
    12,833.70x = 19,214.10 × 12,833.70
  4. Step 4: Simplify right side
    12,833.70x = 246,587,995.17
  5. Step 5: Solve for x
    x = 246,587,995.17/12,833.70
  6. Step 6: Final answer
    x = 19,214.10

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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.