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Finding the Fourth Proportional to 22,656.41, 31,264.97 and 12,585.49

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Solution

The fourth proportional to 22,656.41, 31,264.97 and 12,585.49 is: 17,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.41 : 31,264.97 = 12,585.49 : x
  2. Step 2: Convert to fraction form
    22,656.41/31,264.97 = 12,585.49/x
  3. Step 3: Cross multiply
    22,656.41x = 31,264.97 × 12,585.49
  4. Step 4: Simplify right side
    22,656.41x = 393,484,826.20
  5. Step 5: Solve for x
    x = 393,484,826.20/22,656.41
  6. Step 6: Final answer
    x = 17,367.48

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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.