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Finding the Fourth Proportional to 14,821, 22,242.44 and 7,029.84

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Solution

The fourth proportional to 14,821, 22,242.44 and 7,029.84 is: 10,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821 : 22,242.44 = 7,029.84 : x
  2. Step 2: Convert to fraction form
    14,821/22,242.44 = 7,029.84/x
  3. Step 3: Cross multiply
    14,821x = 22,242.44 × 7,029.84
  4. Step 4: Simplify right side
    14,821x = 156,360,794.41
  5. Step 5: Solve for x
    x = 156,360,794.41/14,821
  6. Step 6: Final answer
    x = 10,549.95

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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.