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Finding the Fourth Proportional to 22,689.64, 31,312.40 and 13,738.80

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Solution

The fourth proportional to 22,689.64, 31,312.40 and 13,738.80 is: 18,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689.64 : 31,312.40 = 13,738.80 : x
  2. Step 2: Convert to fraction form
    22,689.64/31,312.40 = 13,738.80/x
  3. Step 3: Cross multiply
    22,689.64x = 31,312.40 × 13,738.80
  4. Step 4: Simplify right side
    22,689.64x = 430,194,801.12
  5. Step 5: Solve for x
    x = 430,194,801.12/22,689.64
  6. Step 6: Final answer
    x = 18,959.97

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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.