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Finding the Fourth Proportional to 12,575.61, 17,354.67 and 6,910.50

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Solution

The fourth proportional to 12,575.61, 17,354.67 and 6,910.50 is: 9,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.61 : 17,354.67 = 6,910.50 : x
  2. Step 2: Convert to fraction form
    12,575.61/17,354.67 = 6,910.50/x
  3. Step 3: Cross multiply
    12,575.61x = 17,354.67 × 6,910.50
  4. Step 4: Simplify right side
    12,575.61x = 119,929,447.04
  5. Step 5: Solve for x
    x = 119,929,447.04/12,575.61
  6. Step 6: Final answer
    x = 9,536.67

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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.