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Finding the Fourth Proportional to 12,543.70, 18,809.06 and 6,296.98

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Solution

The fourth proportional to 12,543.70, 18,809.06 and 6,296.98 is: 9,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.70 : 18,809.06 = 6,296.98 : x
  2. Step 2: Convert to fraction form
    12,543.70/18,809.06 = 6,296.98/x
  3. Step 3: Cross multiply
    12,543.70x = 18,809.06 × 6,296.98
  4. Step 4: Simplify right side
    12,543.70x = 118,440,274.64
  5. Step 5: Solve for x
    x = 118,440,274.64/12,543.70
  6. Step 6: Final answer
    x = 9,442.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.