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Finding the Fourth Proportional to 17,455.41, 24,087.75 and 9,497.67

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Solution

The fourth proportional to 17,455.41, 24,087.75 and 9,497.67 is: 13,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,455.41 : 24,087.75 = 9,497.67 : x
  2. Step 2: Convert to fraction form
    17,455.41/24,087.75 = 9,497.67/x
  3. Step 3: Cross multiply
    17,455.41x = 24,087.75 × 9,497.67
  4. Step 4: Simplify right side
    17,455.41x = 228,777,374.60
  5. Step 5: Solve for x
    x = 228,777,374.60/17,455.41
  6. Step 6: Final answer
    x = 13,106.39

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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.