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Finding the Fourth Proportional to 18,290.34, 27,406.68 and 14,140.50

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Solution

The fourth proportional to 18,290.34, 27,406.68 and 14,140.50 is: 21,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,290.34 : 27,406.68 = 14,140.50 : x
  2. Step 2: Convert to fraction form
    18,290.34/27,406.68 = 14,140.50/x
  3. Step 3: Cross multiply
    18,290.34x = 27,406.68 × 14,140.50
  4. Step 4: Simplify right side
    18,290.34x = 387,544,158.54
  5. Step 5: Solve for x
    x = 387,544,158.54/18,290.34
  6. Step 6: Final answer
    x = 21,188.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.