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Finding the Fourth Proportional to 22,673.12, 31,290.71 and 12,604.82

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Solution

The fourth proportional to 22,673.12, 31,290.71 and 12,604.82 is: 17,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673.12 : 31,290.71 = 12,604.82 : x
  2. Step 2: Convert to fraction form
    22,673.12/31,290.71 = 12,604.82/x
  3. Step 3: Cross multiply
    22,673.12x = 31,290.71 × 12,604.82
  4. Step 4: Simplify right side
    22,673.12x = 394,413,547.74
  5. Step 5: Solve for x
    x = 394,413,547.74/22,673.12
  6. Step 6: Final answer
    x = 17,395.65

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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.