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Finding the Fourth Proportional to 14,047.83, 19,384.11 and 8,077.32

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Solution

The fourth proportional to 14,047.83, 19,384.11 and 8,077.32 is: 11,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.83 : 19,384.11 = 8,077.32 : x
  2. Step 2: Convert to fraction form
    14,047.83/19,384.11 = 8,077.32/x
  3. Step 3: Cross multiply
    14,047.83x = 19,384.11 × 8,077.32
  4. Step 4: Simplify right side
    14,047.83x = 156,571,659.39
  5. Step 5: Solve for x
    x = 156,571,659.39/14,047.83
  6. Step 6: Final answer
    x = 11,145.61

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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.