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Finding the Fourth Proportional to 19,385.30, 29,083.36 and 7,706.72

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Solution

The fourth proportional to 19,385.30, 29,083.36 and 7,706.72 is: 11,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,385.30 : 29,083.36 = 7,706.72 : x
  2. Step 2: Convert to fraction form
    19,385.30/29,083.36 = 7,706.72/x
  3. Step 3: Cross multiply
    19,385.30x = 29,083.36 × 7,706.72
  4. Step 4: Simplify right side
    19,385.30x = 224,137,312.18
  5. Step 5: Solve for x
    x = 224,137,312.18/19,385.30
  6. Step 6: Final answer
    x = 11,562.23

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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.