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Finding the Fourth Proportional to 14,418.84, 21,631.86 and 4,030.50

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Solution

The fourth proportional to 14,418.84, 21,631.86 and 4,030.50 is: 6,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,418.84 : 21,631.86 = 4,030.50 : x
  2. Step 2: Convert to fraction form
    14,418.84/21,631.86 = 4,030.50/x
  3. Step 3: Cross multiply
    14,418.84x = 21,631.86 × 4,030.50
  4. Step 4: Simplify right side
    14,418.84x = 87,187,211.73
  5. Step 5: Solve for x
    x = 87,187,211.73/14,418.84
  6. Step 6: Final answer
    x = 6,046.76

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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.