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Finding the Fourth Proportional to 16,801.42, 23,186.92 and 9,632.53

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Solution

The fourth proportional to 16,801.42, 23,186.92 and 9,632.53 is: 13,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.42 : 23,186.92 = 9,632.53 : x
  2. Step 2: Convert to fraction form
    16,801.42/23,186.92 = 9,632.53/x
  3. Step 3: Cross multiply
    16,801.42x = 23,186.92 × 9,632.53
  4. Step 4: Simplify right side
    16,801.42x = 223,348,702.51
  5. Step 5: Solve for x
    x = 223,348,702.51/16,801.42
  6. Step 6: Final answer
    x = 13,293.44

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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.