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Finding the Fourth Proportional to 21,352.86, 32,020.38 and 10,256.94

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Solution

The fourth proportional to 21,352.86, 32,020.38 and 10,256.94 is: 15,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352.86 : 32,020.38 = 10,256.94 : x
  2. Step 2: Convert to fraction form
    21,352.86/32,020.38 = 10,256.94/x
  3. Step 3: Cross multiply
    21,352.86x = 32,020.38 × 10,256.94
  4. Step 4: Simplify right side
    21,352.86x = 328,431,116.44
  5. Step 5: Solve for x
    x = 328,431,116.44/21,352.86
  6. Step 6: Final answer
    x = 15,381.13

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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.