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Finding the Fourth Proportional to 16,582.06, 22,882.08 and 9,412.12

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Solution

The fourth proportional to 16,582.06, 22,882.08 and 9,412.12 is: 12,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.06 : 22,882.08 = 9,412.12 : x
  2. Step 2: Convert to fraction form
    16,582.06/22,882.08 = 9,412.12/x
  3. Step 3: Cross multiply
    16,582.06x = 22,882.08 × 9,412.12
  4. Step 4: Simplify right side
    16,582.06x = 215,368,906.34
  5. Step 5: Solve for x
    x = 215,368,906.34/16,582.06
  6. Step 6: Final answer
    x = 12,988.07

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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.