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Finding the Fourth Proportional to 13,585.99, 20,381.91 and 4,225.82

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Solution

The fourth proportional to 13,585.99, 20,381.91 and 4,225.82 is: 6,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.99 : 20,381.91 = 4,225.82 : x
  2. Step 2: Convert to fraction form
    13,585.99/20,381.91 = 4,225.82/x
  3. Step 3: Cross multiply
    13,585.99x = 20,381.91 × 4,225.82
  4. Step 4: Simplify right side
    13,585.99x = 86,130,282.92
  5. Step 5: Solve for x
    x = 86,130,282.92/13,585.99
  6. Step 6: Final answer
    x = 6,339.64

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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.