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Finding the Fourth Proportional to 13,211.53, 19,818.54 and 4,780.15

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Solution

The fourth proportional to 13,211.53, 19,818.54 and 4,780.15 is: 7,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.53 : 19,818.54 = 4,780.15 : x
  2. Step 2: Convert to fraction form
    13,211.53/19,818.54 = 4,780.15/x
  3. Step 3: Cross multiply
    13,211.53x = 19,818.54 × 4,780.15
  4. Step 4: Simplify right side
    13,211.53x = 94,735,593.98
  5. Step 5: Solve for x
    x = 94,735,593.98/13,211.53
  6. Step 6: Final answer
    x = 7,170.68

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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.