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Finding the Fourth Proportional to 16,803.55, 25,205.33 and 6,931.98

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Solution

The fourth proportional to 16,803.55, 25,205.33 and 6,931.98 is: 10,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.55 : 25,205.33 = 6,931.98 : x
  2. Step 2: Convert to fraction form
    16,803.55/25,205.33 = 6,931.98/x
  3. Step 3: Cross multiply
    16,803.55x = 25,205.33 × 6,931.98
  4. Step 4: Simplify right side
    16,803.55x = 174,722,808.79
  5. Step 5: Solve for x
    x = 174,722,808.79/16,803.55
  6. Step 6: Final answer
    x = 10,397.97

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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.