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Finding the Fourth Proportional to 22,564.44, 31,141.63 and 13,133.00

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Solution

The fourth proportional to 22,564.44, 31,141.63 and 13,133.00 is: 18,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.44 : 31,141.63 = 13,133.00 : x
  2. Step 2: Convert to fraction form
    22,564.44/31,141.63 = 13,133.00/x
  3. Step 3: Cross multiply
    22,564.44x = 31,141.63 × 13,133.00
  4. Step 4: Simplify right side
    22,564.44x = 408,983,121.06
  5. Step 5: Solve for x
    x = 408,983,121.06/22,564.44
  6. Step 6: Final answer
    x = 18,125.12

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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.