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Finding the Fourth Proportional to 22,656.16, 33,984.24 and 7,075

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Solution

The fourth proportional to 22,656.16, 33,984.24 and 7,075 is: 10,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.16 : 33,984.24 = 7,075 : x
  2. Step 2: Convert to fraction form
    22,656.16/33,984.24 = 7,075/x
  3. Step 3: Cross multiply
    22,656.16x = 33,984.24 × 7,075
  4. Step 4: Simplify right side
    22,656.16x = 240,438,498
  5. Step 5: Solve for x
    x = 240,438,498/22,656.16
  6. Step 6: Final answer
    x = 10,612.50

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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.