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Finding the Fourth Proportional to 14,677, 22,018.74 and 5,443

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Solution

The fourth proportional to 14,677, 22,018.74 and 5,443 is: 8,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677 : 22,018.74 = 5,443 : x
  2. Step 2: Convert to fraction form
    14,677/22,018.74 = 5,443/x
  3. Step 3: Cross multiply
    14,677x = 22,018.74 × 5,443
  4. Step 4: Simplify right side
    14,677x = 119,848,001.82
  5. Step 5: Solve for x
    x = 119,848,001.82/14,677
  6. Step 6: Final answer
    x = 8,165.70

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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.