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Finding the Fourth Proportional to 19,706.76, 29,565.02 and 5,855.72

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Solution

The fourth proportional to 19,706.76, 29,565.02 and 5,855.72 is: 8,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.76 : 29,565.02 = 5,855.72 : x
  2. Step 2: Convert to fraction form
    19,706.76/29,565.02 = 5,855.72/x
  3. Step 3: Cross multiply
    19,706.76x = 29,565.02 × 5,855.72
  4. Step 4: Simplify right side
    19,706.76x = 173,124,478.91
  5. Step 5: Solve for x
    x = 173,124,478.91/19,706.76
  6. Step 6: Final answer
    x = 8,785.03

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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.