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Finding the Fourth Proportional to 13,888, 19,167.60 and 8,302.24

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Solution

The fourth proportional to 13,888, 19,167.60 and 8,302.24 is: 11,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888 : 19,167.60 = 8,302.24 : x
  2. Step 2: Convert to fraction form
    13,888/19,167.60 = 8,302.24/x
  3. Step 3: Cross multiply
    13,888x = 19,167.60 × 8,302.24
  4. Step 4: Simplify right side
    13,888x = 159,134,015.42
  5. Step 5: Solve for x
    x = 159,134,015.42/13,888
  6. Step 6: Final answer
    x = 11,458.38

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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.