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Finding the Fourth Proportional to 12,833.92, 19,283.36 and 12,315.52

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Solution

The fourth proportional to 12,833.92, 19,283.36 and 12,315.52 is: 18,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.92 : 19,283.36 = 12,315.52 : x
  2. Step 2: Convert to fraction form
    12,833.92/19,283.36 = 12,315.52/x
  3. Step 3: Cross multiply
    12,833.92x = 19,283.36 × 12,315.52
  4. Step 4: Simplify right side
    12,833.92x = 237,484,605.75
  5. Step 5: Solve for x
    x = 237,484,605.75/12,833.92
  6. Step 6: Final answer
    x = 18,504.45

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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.