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Finding the Fourth Proportional to 12,657.98, 17,467.80 and 7,352.84

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Solution

The fourth proportional to 12,657.98, 17,467.80 and 7,352.84 is: 10,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.98 : 17,467.80 = 7,352.84 : x
  2. Step 2: Convert to fraction form
    12,657.98/17,467.80 = 7,352.84/x
  3. Step 3: Cross multiply
    12,657.98x = 17,467.80 × 7,352.84
  4. Step 4: Simplify right side
    12,657.98x = 128,437,938.55
  5. Step 5: Solve for x
    x = 128,437,938.55/12,657.98
  6. Step 6: Final answer
    x = 10,146.80

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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.