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Finding the Fourth Proportional to 16,097, 24,147.30 and 14,443.40

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Solution

The fourth proportional to 16,097, 24,147.30 and 14,443.40 is: 21,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097 : 24,147.30 = 14,443.40 : x
  2. Step 2: Convert to fraction form
    16,097/24,147.30 = 14,443.40/x
  3. Step 3: Cross multiply
    16,097x = 24,147.30 × 14,443.40
  4. Step 4: Simplify right side
    16,097x = 348,769,112.82
  5. Step 5: Solve for x
    x = 348,769,112.82/16,097
  6. Step 6: Final answer
    x = 21,666.72

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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.