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Finding the Fourth Proportional to 19,783.72, 27,303.78 and 12,229.48

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Solution

The fourth proportional to 19,783.72, 27,303.78 and 12,229.48 is: 16,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.72 : 27,303.78 = 12,229.48 : x
  2. Step 2: Convert to fraction form
    19,783.72/27,303.78 = 12,229.48/x
  3. Step 3: Cross multiply
    19,783.72x = 27,303.78 × 12,229.48
  4. Step 4: Simplify right side
    19,783.72x = 333,911,031.43
  5. Step 5: Solve for x
    x = 333,911,031.43/19,783.72
  6. Step 6: Final answer
    x = 16,878.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.