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Finding the Fourth Proportional to 16,087, 22,200.08 and 10,498

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Solution

The fourth proportional to 16,087, 22,200.08 and 10,498 is: 14,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,087 : 22,200.08 = 10,498 : x
  2. Step 2: Convert to fraction form
    16,087/22,200.08 = 10,498/x
  3. Step 3: Cross multiply
    16,087x = 22,200.08 × 10,498
  4. Step 4: Simplify right side
    16,087x = 233,056,439.84
  5. Step 5: Solve for x
    x = 233,056,439.84/16,087
  6. Step 6: Final answer
    x = 14,487.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.