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Finding the Fourth Proportional to 26,534.66, 36,602.62 and 16,581.38

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Solution

The fourth proportional to 26,534.66, 36,602.62 and 16,581.38 is: 22,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,534.66 : 36,602.62 = 16,581.38 : x
  2. Step 2: Convert to fraction form
    26,534.66/36,602.62 = 16,581.38/x
  3. Step 3: Cross multiply
    26,534.66x = 36,602.62 × 16,581.38
  4. Step 4: Simplify right side
    26,534.66x = 606,921,726.75
  5. Step 5: Solve for x
    x = 606,921,726.75/26,534.66
  6. Step 6: Final answer
    x = 22,872.80

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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.