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Finding the Fourth Proportional to 16,667.96, 23,001.54 and 9,114.32

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Solution

The fourth proportional to 16,667.96, 23,001.54 and 9,114.32 is: 12,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,667.96 : 23,001.54 = 9,114.32 : x
  2. Step 2: Convert to fraction form
    16,667.96/23,001.54 = 9,114.32/x
  3. Step 3: Cross multiply
    16,667.96x = 23,001.54 × 9,114.32
  4. Step 4: Simplify right side
    16,667.96x = 209,643,396.05
  5. Step 5: Solve for x
    x = 209,643,396.05/16,667.96
  6. Step 6: Final answer
    x = 12,577.63

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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.