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Finding the Fourth Proportional to 19,644.96, 29,486.88 and 9,264

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Solution

The fourth proportional to 19,644.96, 29,486.88 and 9,264 is: 13,905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.96 : 29,486.88 = 9,264 : x
  2. Step 2: Convert to fraction form
    19,644.96/29,486.88 = 9,264/x
  3. Step 3: Cross multiply
    19,644.96x = 29,486.88 × 9,264
  4. Step 4: Simplify right side
    19,644.96x = 273,166,456.32
  5. Step 5: Solve for x
    x = 273,166,456.32/19,644.96
  6. Step 6: Final answer
    x = 13,905.17

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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.