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Finding the Fourth Proportional to 22,823.96, 31,493.93 and 12,751.14

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Solution

The fourth proportional to 22,823.96, 31,493.93 and 12,751.14 is: 17,594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.96 : 31,493.93 = 12,751.14 : x
  2. Step 2: Convert to fraction form
    22,823.96/31,493.93 = 12,751.14/x
  3. Step 3: Cross multiply
    22,823.96x = 31,493.93 × 12,751.14
  4. Step 4: Simplify right side
    22,823.96x = 401,583,510.58
  5. Step 5: Solve for x
    x = 401,583,510.58/22,823.96
  6. Step 6: Final answer
    x = 17,594.82

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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.