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Finding the Fourth Proportional to 14,438.14, 21,661.08 and 6,113.50

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Solution

The fourth proportional to 14,438.14, 21,661.08 and 6,113.50 is: 9,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.14 : 21,661.08 = 6,113.50 : x
  2. Step 2: Convert to fraction form
    14,438.14/21,661.08 = 6,113.50/x
  3. Step 3: Cross multiply
    14,438.14x = 21,661.08 × 6,113.50
  4. Step 4: Simplify right side
    14,438.14x = 132,425,012.58
  5. Step 5: Solve for x
    x = 132,425,012.58/14,438.14
  6. Step 6: Final answer
    x = 9,171.89

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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.