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Finding the Fourth Proportional to 15,137.94, 22,706.92 and 4,750.50

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Solution

The fourth proportional to 15,137.94, 22,706.92 and 4,750.50 is: 7,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.94 : 22,706.92 = 4,750.50 : x
  2. Step 2: Convert to fraction form
    15,137.94/22,706.92 = 4,750.50/x
  3. Step 3: Cross multiply
    15,137.94x = 22,706.92 × 4,750.50
  4. Step 4: Simplify right side
    15,137.94x = 107,869,223.46
  5. Step 5: Solve for x
    x = 107,869,223.46/15,137.94
  6. Step 6: Final answer
    x = 7,125.75

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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.