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Finding the Fourth Proportional to 14,468.76, 21,697.62 and 5,107.03

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Solution

The fourth proportional to 14,468.76, 21,697.62 and 5,107.03 is: 7,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.76 : 21,697.62 = 5,107.03 : x
  2. Step 2: Convert to fraction form
    14,468.76/21,697.62 = 5,107.03/x
  3. Step 3: Cross multiply
    14,468.76x = 21,697.62 × 5,107.03
  4. Step 4: Simplify right side
    14,468.76x = 110,810,473.65
  5. Step 5: Solve for x
    x = 110,810,473.65/14,468.76
  6. Step 6: Final answer
    x = 7,658.60

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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.