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Finding the Fourth Proportional to 22,975.84, 34,464.64 and 7,391.52

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Solution

The fourth proportional to 22,975.84, 34,464.64 and 7,391.52 is: 11,087.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975.84 : 34,464.64 = 7,391.52 : x
  2. Step 2: Convert to fraction form
    22,975.84/34,464.64 = 7,391.52/x
  3. Step 3: Cross multiply
    22,975.84x = 34,464.64 × 7,391.52
  4. Step 4: Simplify right side
    22,975.84x = 254,746,075.85
  5. Step 5: Solve for x
    x = 254,746,075.85/22,975.84
  6. Step 6: Final answer
    x = 11,087.56

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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.