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Finding the Fourth Proportional to 23,178.69, 31,986.02 and 14,100.68

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Solution

The fourth proportional to 23,178.69, 31,986.02 and 14,100.68 is: 19,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.69 : 31,986.02 = 14,100.68 : x
  2. Step 2: Convert to fraction form
    23,178.69/31,986.02 = 14,100.68/x
  3. Step 3: Cross multiply
    23,178.69x = 31,986.02 × 14,100.68
  4. Step 4: Simplify right side
    23,178.69x = 451,024,747.71
  5. Step 5: Solve for x
    x = 451,024,747.71/23,178.69
  6. Step 6: Final answer
    x = 19,458.60

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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.