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Finding the Fourth Proportional to 16,287.35, 22,465.87 and 12,924.86

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Solution

The fourth proportional to 16,287.35, 22,465.87 and 12,924.86 is: 17,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.35 : 22,465.87 = 12,924.86 : x
  2. Step 2: Convert to fraction form
    16,287.35/22,465.87 = 12,924.86/x
  3. Step 3: Cross multiply
    16,287.35x = 22,465.87 × 12,924.86
  4. Step 4: Simplify right side
    16,287.35x = 290,368,079.89
  5. Step 5: Solve for x
    x = 290,368,079.89/16,287.35
  6. Step 6: Final answer
    x = 17,827.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.