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Finding the Fourth Proportional to 22,649.64, 31,258.08 and 13,697.52

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Solution

The fourth proportional to 22,649.64, 31,258.08 and 13,697.52 is: 18,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.64 : 31,258.08 = 13,697.52 : x
  2. Step 2: Convert to fraction form
    22,649.64/31,258.08 = 13,697.52/x
  3. Step 3: Cross multiply
    22,649.64x = 31,258.08 × 13,697.52
  4. Step 4: Simplify right side
    22,649.64x = 428,158,175.96
  5. Step 5: Solve for x
    x = 428,158,175.96/22,649.64
  6. Step 6: Final answer
    x = 18,903.53

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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.