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Finding the Fourth Proportional to 12,838.96, 19,246.92 and 5,053.12

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Solution

The fourth proportional to 12,838.96, 19,246.92 and 5,053.12 is: 7,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.96 : 19,246.92 = 5,053.12 : x
  2. Step 2: Convert to fraction form
    12,838.96/19,246.92 = 5,053.12/x
  3. Step 3: Cross multiply
    12,838.96x = 19,246.92 × 5,053.12
  4. Step 4: Simplify right side
    12,838.96x = 97,256,996.39
  5. Step 5: Solve for x
    x = 97,256,996.39/12,838.96
  6. Step 6: Final answer
    x = 7,575.15

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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.