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Finding the Fourth Proportional to 22,559.53, 31,133.22 and 13,000.84

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Solution

The fourth proportional to 22,559.53, 31,133.22 and 13,000.84 is: 17,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.53 : 31,133.22 = 13,000.84 : x
  2. Step 2: Convert to fraction form
    22,559.53/31,133.22 = 13,000.84/x
  3. Step 3: Cross multiply
    22,559.53x = 31,133.22 × 13,000.84
  4. Step 4: Simplify right side
    22,559.53x = 404,758,011.90
  5. Step 5: Solve for x
    x = 404,758,011.90/22,559.53
  6. Step 6: Final answer
    x = 17,941.78

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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.