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Finding the Fourth Proportional to 12,506.96, 17,258.88 and 6,840.58

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Solution

The fourth proportional to 12,506.96, 17,258.88 and 6,840.58 is: 9,439.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.96 : 17,258.88 = 6,840.58 : x
  2. Step 2: Convert to fraction form
    12,506.96/17,258.88 = 6,840.58/x
  3. Step 3: Cross multiply
    12,506.96x = 17,258.88 × 6,840.58
  4. Step 4: Simplify right side
    12,506.96x = 118,060,663.06
  5. Step 5: Solve for x
    x = 118,060,663.06/12,506.96
  6. Step 6: Final answer
    x = 9,439.60

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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.