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Finding the Fourth Proportional to 14,384.92, 19,852.92 and 8,098.48

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Solution

The fourth proportional to 14,384.92, 19,852.92 and 8,098.48 is: 11,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.92 : 19,852.92 = 8,098.48 : x
  2. Step 2: Convert to fraction form
    14,384.92/19,852.92 = 8,098.48/x
  3. Step 3: Cross multiply
    14,384.92x = 19,852.92 × 8,098.48
  4. Step 4: Simplify right side
    14,384.92x = 160,778,475.56
  5. Step 5: Solve for x
    x = 160,778,475.56/14,384.92
  6. Step 6: Final answer
    x = 11,176.88

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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.