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Finding the Fourth Proportional to 16,827.90, 23,222.40 and 9,758.40

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Solution

The fourth proportional to 16,827.90, 23,222.40 and 9,758.40 is: 13,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.90 : 23,222.40 = 9,758.40 : x
  2. Step 2: Convert to fraction form
    16,827.90/23,222.40 = 9,758.40/x
  3. Step 3: Cross multiply
    16,827.90x = 23,222.40 × 9,758.40
  4. Step 4: Simplify right side
    16,827.90x = 226,613,468.16
  5. Step 5: Solve for x
    x = 226,613,468.16/16,827.90
  6. Step 6: Final answer
    x = 13,466.53

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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.