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Finding the Fourth Proportional to 19,523.88, 29,302.56 and 7,845.12

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Solution

The fourth proportional to 19,523.88, 29,302.56 and 7,845.12 is: 11,774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523.88 : 29,302.56 = 7,845.12 : x
  2. Step 2: Convert to fraction form
    19,523.88/29,302.56 = 7,845.12/x
  3. Step 3: Cross multiply
    19,523.88x = 29,302.56 × 7,845.12
  4. Step 4: Simplify right side
    19,523.88x = 229,882,099.51
  5. Step 5: Solve for x
    x = 229,882,099.51/19,523.88
  6. Step 6: Final answer
    x = 11,774.41

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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.