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Finding the Fourth Proportional to 13,269.48, 19,929.60 and 8,349

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Solution

The fourth proportional to 13,269.48, 19,929.60 and 8,349 is: 12,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,269.48 : 19,929.60 = 8,349 : x
  2. Step 2: Convert to fraction form
    13,269.48/19,929.60 = 8,349/x
  3. Step 3: Cross multiply
    13,269.48x = 19,929.60 × 8,349
  4. Step 4: Simplify right side
    13,269.48x = 166,392,230.40
  5. Step 5: Solve for x
    x = 166,392,230.40/13,269.48
  6. Step 6: Final answer
    x = 12,539.47

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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.