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Finding the Fourth Proportional to 12,657.16, 18,973 and 6,398.20

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Solution

The fourth proportional to 12,657.16, 18,973 and 6,398.20 is: 9,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.16 : 18,973 = 6,398.20 : x
  2. Step 2: Convert to fraction form
    12,657.16/18,973 = 6,398.20/x
  3. Step 3: Cross multiply
    12,657.16x = 18,973 × 6,398.20
  4. Step 4: Simplify right side
    12,657.16x = 121,393,048.60
  5. Step 5: Solve for x
    x = 121,393,048.60/12,657.16
  6. Step 6: Final answer
    x = 9,590.86

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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.