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Finding the Fourth Proportional to 12,506.84, 17,258.72 and 6,840.45

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Solution

The fourth proportional to 12,506.84, 17,258.72 and 6,840.45 is: 9,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.84 : 17,258.72 = 6,840.45 : x
  2. Step 2: Convert to fraction form
    12,506.84/17,258.72 = 6,840.45/x
  3. Step 3: Cross multiply
    12,506.84x = 17,258.72 × 6,840.45
  4. Step 4: Simplify right side
    12,506.84x = 118,057,377.02
  5. Step 5: Solve for x
    x = 118,057,377.02/12,506.84
  6. Step 6: Final answer
    x = 9,439.43

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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.