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Finding the Fourth Proportional to 12,783.92, 19,152.84 and 10,701.68

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Solution

The fourth proportional to 12,783.92, 19,152.84 and 10,701.68 is: 16,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.92 : 19,152.84 = 10,701.68 : x
  2. Step 2: Convert to fraction form
    12,783.92/19,152.84 = 10,701.68/x
  3. Step 3: Cross multiply
    12,783.92x = 19,152.84 × 10,701.68
  4. Step 4: Simplify right side
    12,783.92x = 204,967,564.77
  5. Step 5: Solve for x
    x = 204,967,564.77/12,783.92
  6. Step 6: Final answer
    x = 16,033.23

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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.