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Finding the Fourth Proportional to 14,558.64, 21,835.81 and 7,161.10

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Solution

The fourth proportional to 14,558.64, 21,835.81 and 7,161.10 is: 10,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,558.64 : 21,835.81 = 7,161.10 : x
  2. Step 2: Convert to fraction form
    14,558.64/21,835.81 = 7,161.10/x
  3. Step 3: Cross multiply
    14,558.64x = 21,835.81 × 7,161.10
  4. Step 4: Simplify right side
    14,558.64x = 156,368,418.99
  5. Step 5: Solve for x
    x = 156,368,418.99/14,558.64
  6. Step 6: Final answer
    x = 10,740.59

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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.