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Finding the Fourth Proportional to 22,582.01, 31,168.34 and 15,028.64

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Solution

The fourth proportional to 22,582.01, 31,168.34 and 15,028.64 is: 20,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.01 : 31,168.34 = 15,028.64 : x
  2. Step 2: Convert to fraction form
    22,582.01/31,168.34 = 15,028.64/x
  3. Step 3: Cross multiply
    22,582.01x = 31,168.34 × 15,028.64
  4. Step 4: Simplify right side
    22,582.01x = 468,417,530.27
  5. Step 5: Solve for x
    x = 468,417,530.27/22,582.01
  6. Step 6: Final answer
    x = 20,742.96

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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.