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Finding the Fourth Proportional to 26,478, 36,556.78 and 16,417.16

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Solution

The fourth proportional to 26,478, 36,556.78 and 16,417.16 is: 22,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478 : 36,556.78 = 16,417.16 : x
  2. Step 2: Convert to fraction form
    26,478/36,556.78 = 16,417.16/x
  3. Step 3: Cross multiply
    26,478x = 36,556.78 × 16,417.16
  4. Step 4: Simplify right side
    26,478x = 600,158,506.34
  5. Step 5: Solve for x
    x = 600,158,506.34/26,478
  6. Step 6: Final answer
    x = 22,666.31

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