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Finding the Fourth Proportional to 19,694.77, 29,520.88 and 9,706.46

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Solution

The fourth proportional to 19,694.77, 29,520.88 and 9,706.46 is: 14,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.77 : 29,520.88 = 9,706.46 : x
  2. Step 2: Convert to fraction form
    19,694.77/29,520.88 = 9,706.46/x
  3. Step 3: Cross multiply
    19,694.77x = 29,520.88 × 9,706.46
  4. Step 4: Simplify right side
    19,694.77x = 286,543,240.88
  5. Step 5: Solve for x
    x = 286,543,240.88/19,694.77
  6. Step 6: Final answer
    x = 14,549.20

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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.