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Finding the Fourth Proportional to 22,359, 30,847.56 and 13,409.40

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Solution

The fourth proportional to 22,359, 30,847.56 and 13,409.40 is: 18,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,359 : 30,847.56 = 13,409.40 : x
  2. Step 2: Convert to fraction form
    22,359/30,847.56 = 13,409.40/x
  3. Step 3: Cross multiply
    22,359x = 30,847.56 × 13,409.40
  4. Step 4: Simplify right side
    22,359x = 413,647,271.06
  5. Step 5: Solve for x
    x = 413,647,271.06/22,359
  6. Step 6: Final answer
    x = 18,500.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.