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Finding the Fourth Proportional to 17,526.14, 24,186.05 and 11,238.50

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Solution

The fourth proportional to 17,526.14, 24,186.05 and 11,238.50 is: 15,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.14 : 24,186.05 = 11,238.50 : x
  2. Step 2: Convert to fraction form
    17,526.14/24,186.05 = 11,238.50/x
  3. Step 3: Cross multiply
    17,526.14x = 24,186.05 × 11,238.50
  4. Step 4: Simplify right side
    17,526.14x = 271,814,922.93
  5. Step 5: Solve for x
    x = 271,814,922.93/17,526.14
  6. Step 6: Final answer
    x = 15,509.12

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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.