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Finding the Fourth Proportional to 16,731.77, 23,090.47 and 9,178.11

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Solution

The fourth proportional to 16,731.77, 23,090.47 and 9,178.11 is: 12,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,731.77 : 23,090.47 = 9,178.11 : x
  2. Step 2: Convert to fraction form
    16,731.77/23,090.47 = 9,178.11/x
  3. Step 3: Cross multiply
    16,731.77x = 23,090.47 × 9,178.11
  4. Step 4: Simplify right side
    16,731.77x = 211,926,850.67
  5. Step 5: Solve for x
    x = 211,926,850.67/16,731.77
  6. Step 6: Final answer
    x = 12,666.14

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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.