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Finding the Fourth Proportional to 26,100, 36,018 and 14,924.16

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Solution

The fourth proportional to 26,100, 36,018 and 14,924.16 is: 20,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,100 : 36,018 = 14,924.16 : x
  2. Step 2: Convert to fraction form
    26,100/36,018 = 14,924.16/x
  3. Step 3: Cross multiply
    26,100x = 36,018 × 14,924.16
  4. Step 4: Simplify right side
    26,100x = 537,538,394.88
  5. Step 5: Solve for x
    x = 537,538,394.88/26,100
  6. Step 6: Final answer
    x = 20,595.34

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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.