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Finding the Fourth Proportional to 16,178.74, 24,268.03 and 13,980.78

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Solution

The fourth proportional to 16,178.74, 24,268.03 and 13,980.78 is: 20,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.74 : 24,268.03 = 13,980.78 : x
  2. Step 2: Convert to fraction form
    16,178.74/24,268.03 = 13,980.78/x
  3. Step 3: Cross multiply
    16,178.74x = 24,268.03 × 13,980.78
  4. Step 4: Simplify right side
    16,178.74x = 339,285,988.46
  5. Step 5: Solve for x
    x = 339,285,988.46/16,178.74
  6. Step 6: Final answer
    x = 20,971.10

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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.