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Finding the Fourth Proportional to 16,705.68, 23,049 and 10,415.76

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Solution

The fourth proportional to 16,705.68, 23,049 and 10,415.76 is: 14,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.68 : 23,049 = 10,415.76 : x
  2. Step 2: Convert to fraction form
    16,705.68/23,049 = 10,415.76/x
  3. Step 3: Cross multiply
    16,705.68x = 23,049 × 10,415.76
  4. Step 4: Simplify right side
    16,705.68x = 240,072,852.24
  5. Step 5: Solve for x
    x = 240,072,852.24/16,705.68
  6. Step 6: Final answer
    x = 14,370.73

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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.