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Finding the Fourth Proportional to 19,285.83, 28,933.07 and 8,192.88

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Solution

The fourth proportional to 19,285.83, 28,933.07 and 8,192.88 is: 12,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,285.83 : 28,933.07 = 8,192.88 : x
  2. Step 2: Convert to fraction form
    19,285.83/28,933.07 = 8,192.88/x
  3. Step 3: Cross multiply
    19,285.83x = 28,933.07 × 8,192.88
  4. Step 4: Simplify right side
    19,285.83x = 237,045,129.58
  5. Step 5: Solve for x
    x = 237,045,129.58/19,285.83
  6. Step 6: Final answer
    x = 12,291.16

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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.