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Finding the Fourth Proportional to 22,493.06, 31,039.80 and 12,421.31

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Solution

The fourth proportional to 22,493.06, 31,039.80 and 12,421.31 is: 17,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.06 : 31,039.80 = 12,421.31 : x
  2. Step 2: Convert to fraction form
    22,493.06/31,039.80 = 12,421.31/x
  3. Step 3: Cross multiply
    22,493.06x = 31,039.80 × 12,421.31
  4. Step 4: Simplify right side
    22,493.06x = 385,554,978.14
  5. Step 5: Solve for x
    x = 385,554,978.14/22,493.06
  6. Step 6: Final answer
    x = 17,141.06

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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.