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Finding the Fourth Proportional to 15,516.20, 23,248.70 and 13,212.20

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Solution

The fourth proportional to 15,516.20, 23,248.70 and 13,212.20 is: 19,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,516.20 : 23,248.70 = 13,212.20 : x
  2. Step 2: Convert to fraction form
    15,516.20/23,248.70 = 13,212.20/x
  3. Step 3: Cross multiply
    15,516.20x = 23,248.70 × 13,212.20
  4. Step 4: Simplify right side
    15,516.20x = 307,166,474.14
  5. Step 5: Solve for x
    x = 307,166,474.14/15,516.20
  6. Step 6: Final answer
    x = 19,796.50

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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.