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Finding the Fourth Proportional to 14,859.22, 22,286 and 7,461.68

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Solution

The fourth proportional to 14,859.22, 22,286 and 7,461.68 is: 11,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,859.22 : 22,286 = 7,461.68 : x
  2. Step 2: Convert to fraction form
    14,859.22/22,286 = 7,461.68/x
  3. Step 3: Cross multiply
    14,859.22x = 22,286 × 7,461.68
  4. Step 4: Simplify right side
    14,859.22x = 166,291,000.48
  5. Step 5: Solve for x
    x = 166,291,000.48/14,859.22
  6. Step 6: Final answer
    x = 11,191.10

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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.