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Finding the Fourth Proportional to 19,706.56, 29,569.14 and 9,846.64

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Solution

The fourth proportional to 19,706.56, 29,569.14 and 9,846.64 is: 14,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.56 : 29,569.14 = 9,846.64 : x
  2. Step 2: Convert to fraction form
    19,706.56/29,569.14 = 9,846.64/x
  3. Step 3: Cross multiply
    19,706.56x = 29,569.14 × 9,846.64
  4. Step 4: Simplify right side
    19,706.56x = 291,156,676.69
  5. Step 5: Solve for x
    x = 291,156,676.69/19,706.56
  6. Step 6: Final answer
    x = 14,774.61

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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.