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Finding the Fourth Proportional to 13,589.71, 20,386.47 and 4,230.42

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Solution

The fourth proportional to 13,589.71, 20,386.47 and 4,230.42 is: 6,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.71 : 20,386.47 = 4,230.42 : x
  2. Step 2: Convert to fraction form
    13,589.71/20,386.47 = 4,230.42/x
  3. Step 3: Cross multiply
    13,589.71x = 20,386.47 × 4,230.42
  4. Step 4: Simplify right side
    13,589.71x = 86,243,330.42
  5. Step 5: Solve for x
    x = 86,243,330.42/13,589.71
  6. Step 6: Final answer
    x = 6,346.22

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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.