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Finding the Fourth Proportional to 13,709.25, 20,567.52 and 5,916.24

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Solution

The fourth proportional to 13,709.25, 20,567.52 and 5,916.24 is: 8,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.25 : 20,567.52 = 5,916.24 : x
  2. Step 2: Convert to fraction form
    13,709.25/20,567.52 = 5,916.24/x
  3. Step 3: Cross multiply
    13,709.25x = 20,567.52 × 5,916.24
  4. Step 4: Simplify right side
    13,709.25x = 121,682,384.52
  5. Step 5: Solve for x
    x = 121,682,384.52/13,709.25
  6. Step 6: Final answer
    x = 8,875.93

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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.