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Finding the Fourth Proportional to 17,613.48, 26,396.40 and 6,509.76

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Solution

The fourth proportional to 17,613.48, 26,396.40 and 6,509.76 is: 9,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613.48 : 26,396.40 = 6,509.76 : x
  2. Step 2: Convert to fraction form
    17,613.48/26,396.40 = 6,509.76/x
  3. Step 3: Cross multiply
    17,613.48x = 26,396.40 × 6,509.76
  4. Step 4: Simplify right side
    17,613.48x = 171,834,228.86
  5. Step 5: Solve for x
    x = 171,834,228.86/17,613.48
  6. Step 6: Final answer
    x = 9,755.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.