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Finding the Fourth Proportional to 21,597.64, 29,797.30 and 13,102.44

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Solution

The fourth proportional to 21,597.64, 29,797.30 and 13,102.44 is: 18,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597.64 : 29,797.30 = 13,102.44 : x
  2. Step 2: Convert to fraction form
    21,597.64/29,797.30 = 13,102.44/x
  3. Step 3: Cross multiply
    21,597.64x = 29,797.30 × 13,102.44
  4. Step 4: Simplify right side
    21,597.64x = 390,417,335.41
  5. Step 5: Solve for x
    x = 390,417,335.41/21,597.64
  6. Step 6: Final answer
    x = 18,076.85

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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.