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Finding the Fourth Proportional to 16,235.76, 22,405.48 and 8,783.76

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Solution

The fourth proportional to 16,235.76, 22,405.48 and 8,783.76 is: 12,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.76 : 22,405.48 = 8,783.76 : x
  2. Step 2: Convert to fraction form
    16,235.76/22,405.48 = 8,783.76/x
  3. Step 3: Cross multiply
    16,235.76x = 22,405.48 × 8,783.76
  4. Step 4: Simplify right side
    16,235.76x = 196,804,359.00
  5. Step 5: Solve for x
    x = 196,804,359.00/16,235.76
  6. Step 6: Final answer
    x = 12,121.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.