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Finding the Fourth Proportional to 28,483.44, 42,722.28 and 10,014

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Solution

The fourth proportional to 28,483.44, 42,722.28 and 10,014 is: 15,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,483.44 : 42,722.28 = 10,014 : x
  2. Step 2: Convert to fraction form
    28,483.44/42,722.28 = 10,014/x
  3. Step 3: Cross multiply
    28,483.44x = 42,722.28 × 10,014
  4. Step 4: Simplify right side
    28,483.44x = 427,820,911.92
  5. Step 5: Solve for x
    x = 427,820,911.92/28,483.44
  6. Step 6: Final answer
    x = 15,019.99

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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.