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Finding the Fourth Proportional to 12,364.02, 17,062.40 and 6,698.78

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Solution

The fourth proportional to 12,364.02, 17,062.40 and 6,698.78 is: 9,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.02 : 17,062.40 = 6,698.78 : x
  2. Step 2: Convert to fraction form
    12,364.02/17,062.40 = 6,698.78/x
  3. Step 3: Cross multiply
    12,364.02x = 17,062.40 × 6,698.78
  4. Step 4: Simplify right side
    12,364.02x = 114,297,263.87
  5. Step 5: Solve for x
    x = 114,297,263.87/12,364.02
  6. Step 6: Final answer
    x = 9,244.34

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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.