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Finding the Fourth Proportional to 16,705.60, 25,039.20 and 6,838.40

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Solution

The fourth proportional to 16,705.60, 25,039.20 and 6,838.40 is: 10,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.60 : 25,039.20 = 6,838.40 : x
  2. Step 2: Convert to fraction form
    16,705.60/25,039.20 = 6,838.40/x
  3. Step 3: Cross multiply
    16,705.60x = 25,039.20 × 6,838.40
  4. Step 4: Simplify right side
    16,705.60x = 171,228,065.28
  5. Step 5: Solve for x
    x = 171,228,065.28/16,705.60
  6. Step 6: Final answer
    x = 10,249.74

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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.