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Finding the Fourth Proportional to 15,135.15, 22,706.36 and 4,746.90

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Solution

The fourth proportional to 15,135.15, 22,706.36 and 4,746.90 is: 7,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.15 : 22,706.36 = 4,746.90 : x
  2. Step 2: Convert to fraction form
    15,135.15/22,706.36 = 4,746.90/x
  3. Step 3: Cross multiply
    15,135.15x = 22,706.36 × 4,746.90
  4. Step 4: Simplify right side
    15,135.15x = 107,784,796.55
  5. Step 5: Solve for x
    x = 107,784,796.55/15,135.15
  6. Step 6: Final answer
    x = 7,121.49

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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.