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Finding the Fourth Proportional to 22,570.50, 33,857.55 and 6,988.08

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Solution

The fourth proportional to 22,570.50, 33,857.55 and 6,988.08 is: 10,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570.50 : 33,857.55 = 6,988.08 : x
  2. Step 2: Convert to fraction form
    22,570.50/33,857.55 = 6,988.08/x
  3. Step 3: Cross multiply
    22,570.50x = 33,857.55 × 6,988.08
  4. Step 4: Simplify right side
    22,570.50x = 236,599,268.00
  5. Step 5: Solve for x
    x = 236,599,268.00/22,570.50
  6. Step 6: Final answer
    x = 10,482.68

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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.