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Finding the Fourth Proportional to 16,422.66, 24,637.62 and 6,566.58

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Solution

The fourth proportional to 16,422.66, 24,637.62 and 6,566.58 is: 9,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.66 : 24,637.62 = 6,566.58 : x
  2. Step 2: Convert to fraction form
    16,422.66/24,637.62 = 6,566.58/x
  3. Step 3: Cross multiply
    16,422.66x = 24,637.62 × 6,566.58
  4. Step 4: Simplify right side
    16,422.66x = 161,784,902.74
  5. Step 5: Solve for x
    x = 161,784,902.74/16,422.66
  6. Step 6: Final answer
    x = 9,851.32

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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.