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Finding the Fourth Proportional to 15,039.84, 22,563.36 and 4,651.50

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Solution

The fourth proportional to 15,039.84, 22,563.36 and 4,651.50 is: 6,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,039.84 : 22,563.36 = 4,651.50 : x
  2. Step 2: Convert to fraction form
    15,039.84/22,563.36 = 4,651.50/x
  3. Step 3: Cross multiply
    15,039.84x = 22,563.36 × 4,651.50
  4. Step 4: Simplify right side
    15,039.84x = 104,953,469.04
  5. Step 5: Solve for x
    x = 104,953,469.04/15,039.84
  6. Step 6: Final answer
    x = 6,978.36

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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.