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Finding the Fourth Proportional to 13,684.02, 18,883.91 and 7,396.38

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Solution

The fourth proportional to 13,684.02, 18,883.91 and 7,396.38 is: 10,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.02 : 18,883.91 = 7,396.38 : x
  2. Step 2: Convert to fraction form
    13,684.02/18,883.91 = 7,396.38/x
  3. Step 3: Cross multiply
    13,684.02x = 18,883.91 × 7,396.38
  4. Step 4: Simplify right side
    13,684.02x = 139,672,498.32
  5. Step 5: Solve for x
    x = 139,672,498.32/13,684.02
  6. Step 6: Final answer
    x = 10,206.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.