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Finding the Fourth Proportional to 14,677.65, 22,019.22 and 4,819.77

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Solution

The fourth proportional to 14,677.65, 22,019.22 and 4,819.77 is: 7,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.65 : 22,019.22 = 4,819.77 : x
  2. Step 2: Convert to fraction form
    14,677.65/22,019.22 = 4,819.77/x
  3. Step 3: Cross multiply
    14,677.65x = 22,019.22 × 4,819.77
  4. Step 4: Simplify right side
    14,677.65x = 106,127,575.98
  5. Step 5: Solve for x
    x = 106,127,575.98/14,677.65
  6. Step 6: Final answer
    x = 7,230.56

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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.