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Finding the Fourth Proportional to 12,740.67, 17,577.89 and 7,702.98

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Solution

The fourth proportional to 12,740.67, 17,577.89 and 7,702.98 is: 10,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.67 : 17,577.89 = 7,702.98 : x
  2. Step 2: Convert to fraction form
    12,740.67/17,577.89 = 7,702.98/x
  3. Step 3: Cross multiply
    12,740.67x = 17,577.89 × 7,702.98
  4. Step 4: Simplify right side
    12,740.67x = 135,402,096.60
  5. Step 5: Solve for x
    x = 135,402,096.60/12,740.67
  6. Step 6: Final answer
    x = 10,627.55

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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.