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Finding the Fourth Proportional to 15,916.48, 23,842.20 and 7,571.24

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Solution

The fourth proportional to 15,916.48, 23,842.20 and 7,571.24 is: 11,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.48 : 23,842.20 = 7,571.24 : x
  2. Step 2: Convert to fraction form
    15,916.48/23,842.20 = 7,571.24/x
  3. Step 3: Cross multiply
    15,916.48x = 23,842.20 × 7,571.24
  4. Step 4: Simplify right side
    15,916.48x = 180,515,018.33
  5. Step 5: Solve for x
    x = 180,515,018.33/15,916.48
  6. Step 6: Final answer
    x = 11,341.39

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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.