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Finding the Fourth Proportional to 21,570.89, 32,370.17 and 10,471.53

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Solution

The fourth proportional to 21,570.89, 32,370.17 and 10,471.53 is: 15,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.89 : 32,370.17 = 10,471.53 : x
  2. Step 2: Convert to fraction form
    21,570.89/32,370.17 = 10,471.53/x
  3. Step 3: Cross multiply
    21,570.89x = 32,370.17 × 10,471.53
  4. Step 4: Simplify right side
    21,570.89x = 338,965,206.26
  5. Step 5: Solve for x
    x = 338,965,206.26/21,570.89
  6. Step 6: Final answer
    x = 15,714.01

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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.