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Finding the Fourth Proportional to 16,090.95, 24,097.47 and 8,172.64

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Solution

The fourth proportional to 16,090.95, 24,097.47 and 8,172.64 is: 12,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.95 : 24,097.47 = 8,172.64 : x
  2. Step 2: Convert to fraction form
    16,090.95/24,097.47 = 8,172.64/x
  3. Step 3: Cross multiply
    16,090.95x = 24,097.47 × 8,172.64
  4. Step 4: Simplify right side
    16,090.95x = 196,939,946.70
  5. Step 5: Solve for x
    x = 196,939,946.70/16,090.95
  6. Step 6: Final answer
    x = 12,239.17

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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.