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Finding the Fourth Proportional to 18,289.80, 27,434.70 and 13,681.80

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Solution

The fourth proportional to 18,289.80, 27,434.70 and 13,681.80 is: 20,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,289.80 : 27,434.70 = 13,681.80 : x
  2. Step 2: Convert to fraction form
    18,289.80/27,434.70 = 13,681.80/x
  3. Step 3: Cross multiply
    18,289.80x = 27,434.70 × 13,681.80
  4. Step 4: Simplify right side
    18,289.80x = 375,356,078.46
  5. Step 5: Solve for x
    x = 375,356,078.46/18,289.80
  6. Step 6: Final answer
    x = 20,522.70

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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.