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Finding the Fourth Proportional to 14,010.34, 21,018 and 4,650.92

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Solution

The fourth proportional to 14,010.34, 21,018 and 4,650.92 is: 6,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010.34 : 21,018 = 4,650.92 : x
  2. Step 2: Convert to fraction form
    14,010.34/21,018 = 4,650.92/x
  3. Step 3: Cross multiply
    14,010.34x = 21,018 × 4,650.92
  4. Step 4: Simplify right side
    14,010.34x = 97,753,036.56
  5. Step 5: Solve for x
    x = 97,753,036.56/14,010.34
  6. Step 6: Final answer
    x = 6,977.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.