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Finding the Fourth Proportional to 12,852.24, 17,734.21 and 7,548.77

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Solution

The fourth proportional to 12,852.24, 17,734.21 and 7,548.77 is: 10,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.24 : 17,734.21 = 7,548.77 : x
  2. Step 2: Convert to fraction form
    12,852.24/17,734.21 = 7,548.77/x
  3. Step 3: Cross multiply
    12,852.24x = 17,734.21 × 7,548.77
  4. Step 4: Simplify right side
    12,852.24x = 133,871,346.01
  5. Step 5: Solve for x
    x = 133,871,346.01/12,852.24
  6. Step 6: Final answer
    x = 10,416.19

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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.