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Finding the Fourth Proportional to 13,239.16, 19,852.45 and 7,694.10

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Solution

The fourth proportional to 13,239.16, 19,852.45 and 7,694.10 is: 11,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,239.16 : 19,852.45 = 7,694.10 : x
  2. Step 2: Convert to fraction form
    13,239.16/19,852.45 = 7,694.10/x
  3. Step 3: Cross multiply
    13,239.16x = 19,852.45 × 7,694.10
  4. Step 4: Simplify right side
    13,239.16x = 152,746,735.55
  5. Step 5: Solve for x
    x = 152,746,735.55/13,239.16
  6. Step 6: Final answer
    x = 11,537.49

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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.