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Finding the Fourth Proportional to 12,852.21, 17,738.10 and 7,546.99

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Solution

The fourth proportional to 12,852.21, 17,738.10 and 7,546.99 is: 10,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.21 : 17,738.10 = 7,546.99 : x
  2. Step 2: Convert to fraction form
    12,852.21/17,738.10 = 7,546.99/x
  3. Step 3: Cross multiply
    12,852.21x = 17,738.10 × 7,546.99
  4. Step 4: Simplify right side
    12,852.21x = 133,869,263.32
  5. Step 5: Solve for x
    x = 133,869,263.32/12,852.21
  6. Step 6: Final answer
    x = 10,416.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.