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Finding the Fourth Proportional to 16,386.43, 24,585.09 and 6,523.06

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Solution

The fourth proportional to 16,386.43, 24,585.09 and 6,523.06 is: 9,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.43 : 24,585.09 = 6,523.06 : x
  2. Step 2: Convert to fraction form
    16,386.43/24,585.09 = 6,523.06/x
  3. Step 3: Cross multiply
    16,386.43x = 24,585.09 × 6,523.06
  4. Step 4: Simplify right side
    16,386.43x = 160,370,017.18
  5. Step 5: Solve for x
    x = 160,370,017.18/16,386.43
  6. Step 6: Final answer
    x = 9,786.76

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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.