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Finding the Fourth Proportional to 22,954.68, 31,677.71 and 12,746.39

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Solution

The fourth proportional to 22,954.68, 31,677.71 and 12,746.39 is: 17,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.68 : 31,677.71 = 12,746.39 : x
  2. Step 2: Convert to fraction form
    22,954.68/31,677.71 = 12,746.39/x
  3. Step 3: Cross multiply
    22,954.68x = 31,677.71 × 12,746.39
  4. Step 4: Simplify right side
    22,954.68x = 403,776,223.85
  5. Step 5: Solve for x
    x = 403,776,223.85/22,954.68
  6. Step 6: Final answer
    x = 17,590.15

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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.