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Finding the Fourth Proportional to 19,710.06, 29,576.88 and 7,861.74

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Solution

The fourth proportional to 19,710.06, 29,576.88 and 7,861.74 is: 11,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.06 : 29,576.88 = 7,861.74 : x
  2. Step 2: Convert to fraction form
    19,710.06/29,576.88 = 7,861.74/x
  3. Step 3: Cross multiply
    19,710.06x = 29,576.88 × 7,861.74
  4. Step 4: Simplify right side
    19,710.06x = 232,525,740.57
  5. Step 5: Solve for x
    x = 232,525,740.57/19,710.06
  6. Step 6: Final answer
    x = 11,797.31

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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.