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Finding the Fourth Proportional to 23,570.80, 35,353.77 and 7,988.02

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Solution

The fourth proportional to 23,570.80, 35,353.77 and 7,988.02 is: 11,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.80 : 35,353.77 = 7,988.02 : x
  2. Step 2: Convert to fraction form
    23,570.80/35,353.77 = 7,988.02/x
  3. Step 3: Cross multiply
    23,570.80x = 35,353.77 × 7,988.02
  4. Step 4: Simplify right side
    23,570.80x = 282,406,621.84
  5. Step 5: Solve for x
    x = 282,406,621.84/23,570.80
  6. Step 6: Final answer
    x = 11,981.21

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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.