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Finding the Fourth Proportional to 21,071.32, 31,625.13 and 8,598.22

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Solution

The fourth proportional to 21,071.32, 31,625.13 and 8,598.22 is: 12,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.32 : 31,625.13 = 8,598.22 : x
  2. Step 2: Convert to fraction form
    21,071.32/31,625.13 = 8,598.22/x
  3. Step 3: Cross multiply
    21,071.32x = 31,625.13 × 8,598.22
  4. Step 4: Simplify right side
    21,071.32x = 271,919,825.27
  5. Step 5: Solve for x
    x = 271,919,825.27/21,071.32
  6. Step 6: Final answer
    x = 12,904.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.