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Finding the Fourth Proportional to 16,539.64, 24,809.34 and 6,678.78

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Solution

The fourth proportional to 16,539.64, 24,809.34 and 6,678.78 is: 10,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.64 : 24,809.34 = 6,678.78 : x
  2. Step 2: Convert to fraction form
    16,539.64/24,809.34 = 6,678.78/x
  3. Step 3: Cross multiply
    16,539.64x = 24,809.34 × 6,678.78
  4. Step 4: Simplify right side
    16,539.64x = 165,695,999.76
  5. Step 5: Solve for x
    x = 165,695,999.76/16,539.64
  6. Step 6: Final answer
    x = 10,018.11

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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.