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Finding the Fourth Proportional to 13,277.53, 19,916.31 and 3,416.83

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Solution

The fourth proportional to 13,277.53, 19,916.31 and 3,416.83 is: 5,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.53 : 19,916.31 = 3,416.83 : x
  2. Step 2: Convert to fraction form
    13,277.53/19,916.31 = 3,416.83/x
  3. Step 3: Cross multiply
    13,277.53x = 19,916.31 × 3,416.83
  4. Step 4: Simplify right side
    13,277.53x = 68,050,645.50
  5. Step 5: Solve for x
    x = 68,050,645.50/13,277.53
  6. Step 6: Final answer
    x = 5,125.25

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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.