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Finding the Fourth Proportional to 22,095.63, 33,123.80 and 8,053.02

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Solution

The fourth proportional to 22,095.63, 33,123.80 and 8,053.02 is: 12,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,095.63 : 33,123.80 = 8,053.02 : x
  2. Step 2: Convert to fraction form
    22,095.63/33,123.80 = 8,053.02/x
  3. Step 3: Cross multiply
    22,095.63x = 33,123.80 × 8,053.02
  4. Step 4: Simplify right side
    22,095.63x = 266,746,623.88
  5. Step 5: Solve for x
    x = 266,746,623.88/22,095.63
  6. Step 6: Final answer
    x = 12,072.37

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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.