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Finding the Fourth Proportional to 12,506.50, 17,258.96 and 6,841.14

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Solution

The fourth proportional to 12,506.50, 17,258.96 and 6,841.14 is: 9,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.50 : 17,258.96 = 6,841.14 : x
  2. Step 2: Convert to fraction form
    12,506.50/17,258.96 = 6,841.14/x
  3. Step 3: Cross multiply
    12,506.50x = 17,258.96 × 6,841.14
  4. Step 4: Simplify right side
    12,506.50x = 118,070,961.61
  5. Step 5: Solve for x
    x = 118,070,961.61/12,506.50
  6. Step 6: Final answer
    x = 9,440.77

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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.