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Finding the Fourth Proportional to 24,654.22, 36,970.52 and 7,783

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Solution

The fourth proportional to 24,654.22, 36,970.52 and 7,783 is: 11,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654.22 : 36,970.52 = 7,783 : x
  2. Step 2: Convert to fraction form
    24,654.22/36,970.52 = 7,783/x
  3. Step 3: Cross multiply
    24,654.22x = 36,970.52 × 7,783
  4. Step 4: Simplify right side
    24,654.22x = 287,741,557.16
  5. Step 5: Solve for x
    x = 287,741,557.16/24,654.22
  6. Step 6: Final answer
    x = 11,671.09

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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.