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Finding the Fourth Proportional to 12,642.22, 17,445.63 and 7,052.14

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Solution

The fourth proportional to 12,642.22, 17,445.63 and 7,052.14 is: 9,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.22 : 17,445.63 = 7,052.14 : x
  2. Step 2: Convert to fraction form
    12,642.22/17,445.63 = 7,052.14/x
  3. Step 3: Cross multiply
    12,642.22x = 17,445.63 × 7,052.14
  4. Step 4: Simplify right side
    12,642.22x = 123,029,025.15
  5. Step 5: Solve for x
    x = 123,029,025.15/12,642.22
  6. Step 6: Final answer
    x = 9,731.60

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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.