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Finding the Fourth Proportional to 12,369.08, 18,553 and 4,048

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Solution

The fourth proportional to 12,369.08, 18,553 and 4,048 is: 6,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.08 : 18,553 = 4,048 : x
  2. Step 2: Convert to fraction form
    12,369.08/18,553 = 4,048/x
  3. Step 3: Cross multiply
    12,369.08x = 18,553 × 4,048
  4. Step 4: Simplify right side
    12,369.08x = 75,102,544
  5. Step 5: Solve for x
    x = 75,102,544/12,369.08
  6. Step 6: Final answer
    x = 6,071.80

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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.