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Finding the Fourth Proportional to 16,830.64, 23,224.93 and 9,757.51

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Solution

The fourth proportional to 16,830.64, 23,224.93 and 9,757.51 is: 13,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.64 : 23,224.93 = 9,757.51 : x
  2. Step 2: Convert to fraction form
    16,830.64/23,224.93 = 9,757.51/x
  3. Step 3: Cross multiply
    16,830.64x = 23,224.93 × 9,757.51
  4. Step 4: Simplify right side
    16,830.64x = 226,617,486.72
  5. Step 5: Solve for x
    x = 226,617,486.72/16,830.64
  6. Step 6: Final answer
    x = 13,464.58

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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.