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Finding the Fourth Proportional to 23,570.16, 35,361 and 7,987.92

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Solution

The fourth proportional to 23,570.16, 35,361 and 7,987.92 is: 11,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.16 : 35,361 = 7,987.92 : x
  2. Step 2: Convert to fraction form
    23,570.16/35,361 = 7,987.92/x
  3. Step 3: Cross multiply
    23,570.16x = 35,361 × 7,987.92
  4. Step 4: Simplify right side
    23,570.16x = 282,460,839.12
  5. Step 5: Solve for x
    x = 282,460,839.12/23,570.16
  6. Step 6: Final answer
    x = 11,983.83

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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.