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Finding the Fourth Proportional to 16,582.72, 22,882.80 and 9,130.72

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Solution

The fourth proportional to 16,582.72, 22,882.80 and 9,130.72 is: 12,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.72 : 22,882.80 = 9,130.72 : x
  2. Step 2: Convert to fraction form
    16,582.72/22,882.80 = 9,130.72/x
  3. Step 3: Cross multiply
    16,582.72x = 22,882.80 × 9,130.72
  4. Step 4: Simplify right side
    16,582.72x = 208,936,439.62
  5. Step 5: Solve for x
    x = 208,936,439.62/16,582.72
  6. Step 6: Final answer
    x = 12,599.65

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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.