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Finding the Fourth Proportional to 22,582.28, 31,164.09 and 16,907.01

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Solution

The fourth proportional to 22,582.28, 31,164.09 and 16,907.01 is: 23,332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.28 : 31,164.09 = 16,907.01 : x
  2. Step 2: Convert to fraction form
    22,582.28/31,164.09 = 16,907.01/x
  3. Step 3: Cross multiply
    22,582.28x = 31,164.09 × 16,907.01
  4. Step 4: Simplify right side
    22,582.28x = 526,891,581.27
  5. Step 5: Solve for x
    x = 526,891,581.27/22,582.28
  6. Step 6: Final answer
    x = 23,332.09

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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.