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Finding the Fourth Proportional to 26,386.50, 36,407.54 and 16,179.72

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Solution

The fourth proportional to 26,386.50, 36,407.54 and 16,179.72 is: 22,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,386.50 : 36,407.54 = 16,179.72 : x
  2. Step 2: Convert to fraction form
    26,386.50/36,407.54 = 16,179.72/x
  3. Step 3: Cross multiply
    26,386.50x = 36,407.54 × 16,179.72
  4. Step 4: Simplify right side
    26,386.50x = 589,063,803.09
  5. Step 5: Solve for x
    x = 589,063,803.09/26,386.50
  6. Step 6: Final answer
    x = 22,324.44

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Why These Related Problems?

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