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Finding the Fourth Proportional to 14,872.64, 22,297.14 and 7,370.93

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Solution

The fourth proportional to 14,872.64, 22,297.14 and 7,370.93 is: 11,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.64 : 22,297.14 = 7,370.93 : x
  2. Step 2: Convert to fraction form
    14,872.64/22,297.14 = 7,370.93/x
  3. Step 3: Cross multiply
    14,872.64x = 22,297.14 × 7,370.93
  4. Step 4: Simplify right side
    14,872.64x = 164,350,713.88
  5. Step 5: Solve for x
    x = 164,350,713.88/14,872.64
  6. Step 6: Final answer
    x = 11,050.54

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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.