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Finding the Fourth Proportional to 14,704.16, 22,060.64 and 5,344

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Solution

The fourth proportional to 14,704.16, 22,060.64 and 5,344 is: 8,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.16 : 22,060.64 = 5,344 : x
  2. Step 2: Convert to fraction form
    14,704.16/22,060.64 = 5,344/x
  3. Step 3: Cross multiply
    14,704.16x = 22,060.64 × 5,344
  4. Step 4: Simplify right side
    14,704.16x = 117,892,060.16
  5. Step 5: Solve for x
    x = 117,892,060.16/14,704.16
  6. Step 6: Final answer
    x = 8,017.60

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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.