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Finding the Fourth Proportional to 16,165.14, 24,237.60 and 7,278.63

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Solution

The fourth proportional to 16,165.14, 24,237.60 and 7,278.63 is: 10,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.14 : 24,237.60 = 7,278.63 : x
  2. Step 2: Convert to fraction form
    16,165.14/24,237.60 = 7,278.63/x
  3. Step 3: Cross multiply
    16,165.14x = 24,237.60 × 7,278.63
  4. Step 4: Simplify right side
    16,165.14x = 176,416,522.49
  5. Step 5: Solve for x
    x = 176,416,522.49/16,165.14
  6. Step 6: Final answer
    x = 10,913.39

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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.