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Finding the Fourth Proportional to 15,049.09, 22,574 and 5,188.24

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Solution

The fourth proportional to 15,049.09, 22,574 and 5,188.24 is: 7,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,049.09 : 22,574 = 5,188.24 : x
  2. Step 2: Convert to fraction form
    15,049.09/22,574 = 5,188.24/x
  3. Step 3: Cross multiply
    15,049.09x = 22,574 × 5,188.24
  4. Step 4: Simplify right side
    15,049.09x = 117,119,329.76
  5. Step 5: Solve for x
    x = 117,119,329.76/15,049.09
  6. Step 6: Final answer
    x = 7,782.49

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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.