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Finding the Fourth Proportional to 22,841.29, 31,516.95 and 12,766.51

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Solution

The fourth proportional to 22,841.29, 31,516.95 and 12,766.51 is: 17,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.29 : 31,516.95 = 12,766.51 : x
  2. Step 2: Convert to fraction form
    22,841.29/31,516.95 = 12,766.51/x
  3. Step 3: Cross multiply
    22,841.29x = 31,516.95 × 12,766.51
  4. Step 4: Simplify right side
    22,841.29x = 402,361,457.34
  5. Step 5: Solve for x
    x = 402,361,457.34/22,841.29
  6. Step 6: Final answer
    x = 17,615.53

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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.