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Finding the Fourth Proportional to 16,420.65, 24,634.62 and 6,564.57

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Solution

The fourth proportional to 16,420.65, 24,634.62 and 6,564.57 is: 9,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.65 : 24,634.62 = 6,564.57 : x
  2. Step 2: Convert to fraction form
    16,420.65/24,634.62 = 6,564.57/x
  3. Step 3: Cross multiply
    16,420.65x = 24,634.62 × 6,564.57
  4. Step 4: Simplify right side
    16,420.65x = 161,715,687.41
  5. Step 5: Solve for x
    x = 161,715,687.41/16,420.65
  6. Step 6: Final answer
    x = 9,848.31

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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.