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Finding the Fourth Proportional to 21,088.37, 31,638.06 and 6,297.29

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Solution

The fourth proportional to 21,088.37, 31,638.06 and 6,297.29 is: 9,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,088.37 : 31,638.06 = 6,297.29 : x
  2. Step 2: Convert to fraction form
    21,088.37/31,638.06 = 6,297.29/x
  3. Step 3: Cross multiply
    21,088.37x = 31,638.06 × 6,297.29
  4. Step 4: Simplify right side
    21,088.37x = 199,234,038.86
  5. Step 5: Solve for x
    x = 199,234,038.86/21,088.37
  6. Step 6: Final answer
    x = 9,447.58

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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.