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Finding the Fourth Proportional to 12,356.12, 17,051.73 and 7,051.43

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Solution

The fourth proportional to 12,356.12, 17,051.73 and 7,051.43 is: 9,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.12 : 17,051.73 = 7,051.43 : x
  2. Step 2: Convert to fraction form
    12,356.12/17,051.73 = 7,051.43/x
  3. Step 3: Cross multiply
    12,356.12x = 17,051.73 × 7,051.43
  4. Step 4: Simplify right side
    12,356.12x = 120,239,080.47
  5. Step 5: Solve for x
    x = 120,239,080.47/12,356.12
  6. Step 6: Final answer
    x = 9,731.14

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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.