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Finding the Fourth Proportional to 22,546.26, 31,110.21 and 14,156.82

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Solution

The fourth proportional to 22,546.26, 31,110.21 and 14,156.82 is: 19,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.26 : 31,110.21 = 14,156.82 : x
  2. Step 2: Convert to fraction form
    22,546.26/31,110.21 = 14,156.82/x
  3. Step 3: Cross multiply
    22,546.26x = 31,110.21 × 14,156.82
  4. Step 4: Simplify right side
    22,546.26x = 440,421,643.13
  5. Step 5: Solve for x
    x = 440,421,643.13/22,546.26
  6. Step 6: Final answer
    x = 19,534.13

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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.