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Finding the Fourth Proportional to 16,740.14, 23,102.44 and 9,288.14

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Solution

The fourth proportional to 16,740.14, 23,102.44 and 9,288.14 is: 12,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,740.14 : 23,102.44 = 9,288.14 : x
  2. Step 2: Convert to fraction form
    16,740.14/23,102.44 = 9,288.14/x
  3. Step 3: Cross multiply
    16,740.14x = 23,102.44 × 9,288.14
  4. Step 4: Simplify right side
    16,740.14x = 214,578,697.06
  5. Step 5: Solve for x
    x = 214,578,697.06/16,740.14
  6. Step 6: Final answer
    x = 12,818.21

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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.