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Finding the Fourth Proportional to 15,173.23, 22,763.46 and 4,784.98

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Solution

The fourth proportional to 15,173.23, 22,763.46 and 4,784.98 is: 7,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,173.23 : 22,763.46 = 4,784.98 : x
  2. Step 2: Convert to fraction form
    15,173.23/22,763.46 = 4,784.98/x
  3. Step 3: Cross multiply
    15,173.23x = 22,763.46 × 4,784.98
  4. Step 4: Simplify right side
    15,173.23x = 108,922,700.83
  5. Step 5: Solve for x
    x = 108,922,700.83/15,173.23
  6. Step 6: Final answer
    x = 7,178.61

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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.