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Finding the Fourth Proportional to 21,053.68, 31,568.91 and 8,570.50

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Solution

The fourth proportional to 21,053.68, 31,568.91 and 8,570.50 is: 12,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.68 : 31,568.91 = 8,570.50 : x
  2. Step 2: Convert to fraction form
    21,053.68/31,568.91 = 8,570.50/x
  3. Step 3: Cross multiply
    21,053.68x = 31,568.91 × 8,570.50
  4. Step 4: Simplify right side
    21,053.68x = 270,561,343.16
  5. Step 5: Solve for x
    x = 270,561,343.16/21,053.68
  6. Step 6: Final answer
    x = 12,851.02

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Why These Related Problems?

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