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Finding the Fourth Proportional to 16,585.66, 24,903.55 and 6,744.16

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Solution

The fourth proportional to 16,585.66, 24,903.55 and 6,744.16 is: 10,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.66 : 24,903.55 = 6,744.16 : x
  2. Step 2: Convert to fraction form
    16,585.66/24,903.55 = 6,744.16/x
  3. Step 3: Cross multiply
    16,585.66x = 24,903.55 × 6,744.16
  4. Step 4: Simplify right side
    16,585.66x = 167,953,565.33
  5. Step 5: Solve for x
    x = 167,953,565.33/16,585.66
  6. Step 6: Final answer
    x = 10,126.43

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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.