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Finding the Fourth Proportional to 15,907.21, 23,824.47 and 7,593.07

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Solution

The fourth proportional to 15,907.21, 23,824.47 and 7,593.07 is: 11,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.21 : 23,824.47 = 7,593.07 : x
  2. Step 2: Convert to fraction form
    15,907.21/23,824.47 = 7,593.07/x
  3. Step 3: Cross multiply
    15,907.21x = 23,824.47 × 7,593.07
  4. Step 4: Simplify right side
    15,907.21x = 180,900,927.98
  5. Step 5: Solve for x
    x = 180,900,927.98/15,907.21
  6. Step 6: Final answer
    x = 11,372.26

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1.5x scale

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.