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Finding the Fourth Proportional to 16,420.66, 24,634.62 and 6,564.58

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Solution

The fourth proportional to 16,420.66, 24,634.62 and 6,564.58 is: 9,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.66 : 24,634.62 = 6,564.58 : x
  2. Step 2: Convert to fraction form
    16,420.66/24,634.62 = 6,564.58/x
  3. Step 3: Cross multiply
    16,420.66x = 24,634.62 × 6,564.58
  4. Step 4: Simplify right side
    16,420.66x = 161,715,933.76
  5. Step 5: Solve for x
    x = 161,715,933.76/16,420.66
  6. Step 6: Final answer
    x = 9,848.32

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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.