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Finding the Fourth Proportional to 16,803.78, 25,204.45 and 8,036.34

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Solution

The fourth proportional to 16,803.78, 25,204.45 and 8,036.34 is: 12,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.78 : 25,204.45 = 8,036.34 : x
  2. Step 2: Convert to fraction form
    16,803.78/25,204.45 = 8,036.34/x
  3. Step 3: Cross multiply
    16,803.78x = 25,204.45 × 8,036.34
  4. Step 4: Simplify right side
    16,803.78x = 202,551,363.51
  5. Step 5: Solve for x
    x = 202,551,363.51/16,803.78
  6. Step 6: Final answer
    x = 12,053.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.