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Finding the Fourth Proportional to 12,597.16, 18,903.04 and 6,975.40

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Solution

The fourth proportional to 12,597.16, 18,903.04 and 6,975.40 is: 10,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.16 : 18,903.04 = 6,975.40 : x
  2. Step 2: Convert to fraction form
    12,597.16/18,903.04 = 6,975.40/x
  3. Step 3: Cross multiply
    12,597.16x = 18,903.04 × 6,975.40
  4. Step 4: Simplify right side
    12,597.16x = 131,856,265.22
  5. Step 5: Solve for x
    x = 131,856,265.22/12,597.16
  6. Step 6: Final answer
    x = 10,467.14

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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.