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Finding the Fourth Proportional to 14,447.82, 21,669.51 and 4,585.82

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Solution

The fourth proportional to 14,447.82, 21,669.51 and 4,585.82 is: 6,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.82 : 21,669.51 = 4,585.82 : x
  2. Step 2: Convert to fraction form
    14,447.82/21,669.51 = 4,585.82/x
  3. Step 3: Cross multiply
    14,447.82x = 21,669.51 × 4,585.82
  4. Step 4: Simplify right side
    14,447.82x = 99,372,472.35
  5. Step 5: Solve for x
    x = 99,372,472.35/14,447.82
  6. Step 6: Final answer
    x = 6,878.03

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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.