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Finding the Fourth Proportional to 14,508.50, 21,765.94 and 4,648.77

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Solution

The fourth proportional to 14,508.50, 21,765.94 and 4,648.77 is: 6,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508.50 : 21,765.94 = 4,648.77 : x
  2. Step 2: Convert to fraction form
    14,508.50/21,765.94 = 4,648.77/x
  3. Step 3: Cross multiply
    14,508.50x = 21,765.94 × 4,648.77
  4. Step 4: Simplify right side
    14,508.50x = 101,184,837.27
  5. Step 5: Solve for x
    x = 101,184,837.27/14,508.50
  6. Step 6: Final answer
    x = 6,974.18

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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.