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Finding the Fourth Proportional to 21,102.96, 31,657.96 and 9,415.74

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Solution

The fourth proportional to 21,102.96, 31,657.96 and 9,415.74 is: 14,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.96 : 31,657.96 = 9,415.74 : x
  2. Step 2: Convert to fraction form
    21,102.96/31,657.96 = 9,415.74/x
  3. Step 3: Cross multiply
    21,102.96x = 31,657.96 × 9,415.74
  4. Step 4: Simplify right side
    21,102.96x = 298,083,120.29
  5. Step 5: Solve for x
    x = 298,083,120.29/21,102.96
  6. Step 6: Final answer
    x = 14,125.18

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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.