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Finding the Fourth Proportional to 12,842.17, 19,236.01 and 8,384.08

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Solution

The fourth proportional to 12,842.17, 19,236.01 and 8,384.08 is: 12,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.17 : 19,236.01 = 8,384.08 : x
  2. Step 2: Convert to fraction form
    12,842.17/19,236.01 = 8,384.08/x
  3. Step 3: Cross multiply
    12,842.17x = 19,236.01 × 8,384.08
  4. Step 4: Simplify right side
    12,842.17x = 161,276,259.98
  5. Step 5: Solve for x
    x = 161,276,259.98/12,842.17
  6. Step 6: Final answer
    x = 12,558.33

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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.