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Finding the Fourth Proportional to 17,526.64, 24,186.74 and 11,239

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Solution

The fourth proportional to 17,526.64, 24,186.74 and 11,239 is: 15,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.64 : 24,186.74 = 11,239 : x
  2. Step 2: Convert to fraction form
    17,526.64/24,186.74 = 11,239/x
  3. Step 3: Cross multiply
    17,526.64x = 24,186.74 × 11,239
  4. Step 4: Simplify right side
    17,526.64x = 271,834,770.86
  5. Step 5: Solve for x
    x = 271,834,770.86/17,526.64
  6. Step 6: Final answer
    x = 15,509.81

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Why These Related Problems?

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