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Finding the Fourth Proportional to 13,782.16, 20,675.90 and 5,884.56

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Solution

The fourth proportional to 13,782.16, 20,675.90 and 5,884.56 is: 8,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.16 : 20,675.90 = 5,884.56 : x
  2. Step 2: Convert to fraction form
    13,782.16/20,675.90 = 5,884.56/x
  3. Step 3: Cross multiply
    13,782.16x = 20,675.90 × 5,884.56
  4. Step 4: Simplify right side
    13,782.16x = 121,668,574.10
  5. Step 5: Solve for x
    x = 121,668,574.10/13,782.16
  6. Step 6: Final answer
    x = 8,827.98

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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.