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Finding the Fourth Proportional to 12,356.42, 17,055.05 and 7,637.94

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Solution

The fourth proportional to 12,356.42, 17,055.05 and 7,637.94 is: 10,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.42 : 17,055.05 = 7,637.94 : x
  2. Step 2: Convert to fraction form
    12,356.42/17,055.05 = 7,637.94/x
  3. Step 3: Cross multiply
    12,356.42x = 17,055.05 × 7,637.94
  4. Step 4: Simplify right side
    12,356.42x = 130,265,410.41
  5. Step 5: Solve for x
    x = 130,265,410.41/12,356.42
  6. Step 6: Final answer
    x = 10,542.33

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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.