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Finding the Fourth Proportional to 22,509.50, 33,737.28 and 10,485.44

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Solution

The fourth proportional to 22,509.50, 33,737.28 and 10,485.44 is: 15,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.50 : 33,737.28 = 10,485.44 : x
  2. Step 2: Convert to fraction form
    22,509.50/33,737.28 = 10,485.44/x
  3. Step 3: Cross multiply
    22,509.50x = 33,737.28 × 10,485.44
  4. Step 4: Simplify right side
    22,509.50x = 353,750,143.71
  5. Step 5: Solve for x
    x = 353,750,143.71/22,509.50
  6. Step 6: Final answer
    x = 15,715.60

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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.