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Finding the Fourth Proportional to 13,992, 19,307.20 and 9,464.56

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Solution

The fourth proportional to 13,992, 19,307.20 and 9,464.56 is: 13,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992 : 19,307.20 = 9,464.56 : x
  2. Step 2: Convert to fraction form
    13,992/19,307.20 = 9,464.56/x
  3. Step 3: Cross multiply
    13,992x = 19,307.20 × 9,464.56
  4. Step 4: Simplify right side
    13,992x = 182,734,152.83
  5. Step 5: Solve for x
    x = 182,734,152.83/13,992
  6. Step 6: Final answer
    x = 13,059.90

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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.