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Finding the Fourth Proportional to 14,991.86, 22,506.42 and 9,709.58

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Solution

The fourth proportional to 14,991.86, 22,506.42 and 9,709.58 is: 14,576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,991.86 : 22,506.42 = 9,709.58 : x
  2. Step 2: Convert to fraction form
    14,991.86/22,506.42 = 9,709.58/x
  3. Step 3: Cross multiply
    14,991.86x = 22,506.42 × 9,709.58
  4. Step 4: Simplify right side
    14,991.86x = 218,527,885.50
  5. Step 5: Solve for x
    x = 218,527,885.50/14,991.86
  6. Step 6: Final answer
    x = 14,576.44

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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.