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Finding the Fourth Proportional to 19,706.85, 29,567.28 and 12,302.76

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Solution

The fourth proportional to 19,706.85, 29,567.28 and 12,302.76 is: 18,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.85 : 29,567.28 = 12,302.76 : x
  2. Step 2: Convert to fraction form
    19,706.85/29,567.28 = 12,302.76/x
  3. Step 3: Cross multiply
    19,706.85x = 29,567.28 × 12,302.76
  4. Step 4: Simplify right side
    19,706.85x = 363,759,149.69
  5. Step 5: Solve for x
    x = 363,759,149.69/19,706.85
  6. Step 6: Final answer
    x = 18,458.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.