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Finding the Fourth Proportional to 22,781.58, 31,438.29 and 12,709.90

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Solution

The fourth proportional to 22,781.58, 31,438.29 and 12,709.90 is: 17,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.58 : 31,438.29 = 12,709.90 : x
  2. Step 2: Convert to fraction form
    22,781.58/31,438.29 = 12,709.90/x
  3. Step 3: Cross multiply
    22,781.58x = 31,438.29 × 12,709.90
  4. Step 4: Simplify right side
    22,781.58x = 399,577,522.07
  5. Step 5: Solve for x
    x = 399,577,522.07/22,781.58
  6. Step 6: Final answer
    x = 17,539.50

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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.