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Finding the Fourth Proportional to 15,396.65, 23,075.82 and 7,067.82

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Solution

The fourth proportional to 15,396.65, 23,075.82 and 7,067.82 is: 10,592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,396.65 : 23,075.82 = 7,067.82 : x
  2. Step 2: Convert to fraction form
    15,396.65/23,075.82 = 7,067.82/x
  3. Step 3: Cross multiply
    15,396.65x = 23,075.82 × 7,067.82
  4. Step 4: Simplify right side
    15,396.65x = 163,095,742.11
  5. Step 5: Solve for x
    x = 163,095,742.11/15,396.65
  6. Step 6: Final answer
    x = 10,592.94

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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.