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Finding the Fourth Proportional to 22,487.74, 31,032.72 and 12,417.22

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Solution

The fourth proportional to 22,487.74, 31,032.72 and 12,417.22 is: 17,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,487.74 : 31,032.72 = 12,417.22 : x
  2. Step 2: Convert to fraction form
    22,487.74/31,032.72 = 12,417.22/x
  3. Step 3: Cross multiply
    22,487.74x = 31,032.72 × 12,417.22
  4. Step 4: Simplify right side
    22,487.74x = 385,340,111.44
  5. Step 5: Solve for x
    x = 385,340,111.44/22,487.74
  6. Step 6: Final answer
    x = 17,135.56

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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.