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Finding the Fourth Proportional to 26,416.19, 36,458.08 and 16,347.87

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Solution

The fourth proportional to 26,416.19, 36,458.08 and 16,347.87 is: 22,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416.19 : 36,458.08 = 16,347.87 : x
  2. Step 2: Convert to fraction form
    26,416.19/36,458.08 = 16,347.87/x
  3. Step 3: Cross multiply
    26,416.19x = 36,458.08 × 16,347.87
  4. Step 4: Simplify right side
    26,416.19x = 596,012,109.44
  5. Step 5: Solve for x
    x = 596,012,109.44/26,416.19
  6. Step 6: Final answer
    x = 22,562.38

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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.