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Finding the Fourth Proportional to 23,200.42, 34,797.77 and 9,878.77

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Solution

The fourth proportional to 23,200.42, 34,797.77 and 9,878.77 is: 14,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.42 : 34,797.77 = 9,878.77 : x
  2. Step 2: Convert to fraction form
    23,200.42/34,797.77 = 9,878.77/x
  3. Step 3: Cross multiply
    23,200.42x = 34,797.77 × 9,878.77
  4. Step 4: Simplify right side
    23,200.42x = 343,759,166.34
  5. Step 5: Solve for x
    x = 343,759,166.34/23,200.42
  6. Step 6: Final answer
    x = 14,816.94

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1.5x scale

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.