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Finding the Fourth Proportional to 12,051.42, 16,632 and 6,746.16

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Solution

The fourth proportional to 12,051.42, 16,632 and 6,746.16 is: 9,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.42 : 16,632 = 6,746.16 : x
  2. Step 2: Convert to fraction form
    12,051.42/16,632 = 6,746.16/x
  3. Step 3: Cross multiply
    12,051.42x = 16,632 × 6,746.16
  4. Step 4: Simplify right side
    12,051.42x = 112,202,133.12
  5. Step 5: Solve for x
    x = 112,202,133.12/12,051.42
  6. Step 6: Final answer
    x = 9,310.28

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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.