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Finding the Fourth Proportional to 16,566.16, 24,853.56 and 6,178

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Solution

The fourth proportional to 16,566.16, 24,853.56 and 6,178 is: 9,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.16 : 24,853.56 = 6,178 : x
  2. Step 2: Convert to fraction form
    16,566.16/24,853.56 = 6,178/x
  3. Step 3: Cross multiply
    16,566.16x = 24,853.56 × 6,178
  4. Step 4: Simplify right side
    16,566.16x = 153,545,293.68
  5. Step 5: Solve for x
    x = 153,545,293.68/16,566.16
  6. Step 6: Final answer
    x = 9,268.61

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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.