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Finding the Fourth Proportional to 21,815.46, 32,726.82 and 7,783.58

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Solution

The fourth proportional to 21,815.46, 32,726.82 and 7,783.58 is: 11,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,815.46 : 32,726.82 = 7,783.58 : x
  2. Step 2: Convert to fraction form
    21,815.46/32,726.82 = 7,783.58/x
  3. Step 3: Cross multiply
    21,815.46x = 32,726.82 × 7,783.58
  4. Step 4: Simplify right side
    21,815.46x = 254,731,657.98
  5. Step 5: Solve for x
    x = 254,731,657.98/21,815.46
  6. Step 6: Final answer
    x = 11,676.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.