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Finding the Fourth Proportional to 13,026.53, 19,523.76 and 7,408.91

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Solution

The fourth proportional to 13,026.53, 19,523.76 and 7,408.91 is: 11,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.53 : 19,523.76 = 7,408.91 : x
  2. Step 2: Convert to fraction form
    13,026.53/19,523.76 = 7,408.91/x
  3. Step 3: Cross multiply
    13,026.53x = 19,523.76 × 7,408.91
  4. Step 4: Simplify right side
    13,026.53x = 144,649,780.70
  5. Step 5: Solve for x
    x = 144,649,780.70/13,026.53
  6. Step 6: Final answer
    x = 11,104.25

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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.