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Finding the Fourth Proportional to 16,582.86, 22,885.74 and 9,511.56

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Solution

The fourth proportional to 16,582.86, 22,885.74 and 9,511.56 is: 13,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.86 : 22,885.74 = 9,511.56 : x
  2. Step 2: Convert to fraction form
    16,582.86/22,885.74 = 9,511.56/x
  3. Step 3: Cross multiply
    16,582.86x = 22,885.74 × 9,511.56
  4. Step 4: Simplify right side
    16,582.86x = 217,679,089.15
  5. Step 5: Solve for x
    x = 217,679,089.15/16,582.86
  6. Step 6: Final answer
    x = 13,126.75

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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.