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Finding the Fourth Proportional to 19,706.85, 29,555.06 and 7,860.15

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Solution

The fourth proportional to 19,706.85, 29,555.06 and 7,860.15 is: 11,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.85 : 29,555.06 = 7,860.15 : x
  2. Step 2: Convert to fraction form
    19,706.85/29,555.06 = 7,860.15/x
  3. Step 3: Cross multiply
    19,706.85x = 29,555.06 × 7,860.15
  4. Step 4: Simplify right side
    19,706.85x = 232,307,165.56
  5. Step 5: Solve for x
    x = 232,307,165.56/19,706.85
  6. Step 6: Final answer
    x = 11,788.14

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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.