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Finding the Fourth Proportional to 15,199.76, 22,803.15 and 4,811.51

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Solution

The fourth proportional to 15,199.76, 22,803.15 and 4,811.51 is: 7,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,199.76 : 22,803.15 = 4,811.51 : x
  2. Step 2: Convert to fraction form
    15,199.76/22,803.15 = 4,811.51/x
  3. Step 3: Cross multiply
    15,199.76x = 22,803.15 × 4,811.51
  4. Step 4: Simplify right side
    15,199.76x = 109,717,584.26
  5. Step 5: Solve for x
    x = 109,717,584.26/15,199.76
  6. Step 6: Final answer
    x = 7,218.38

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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.