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Finding the Fourth Proportional to 13,597.08, 18,763.74 and 8,007

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Solution

The fourth proportional to 13,597.08, 18,763.74 and 8,007 is: 11,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.08 : 18,763.74 = 8,007 : x
  2. Step 2: Convert to fraction form
    13,597.08/18,763.74 = 8,007/x
  3. Step 3: Cross multiply
    13,597.08x = 18,763.74 × 8,007
  4. Step 4: Simplify right side
    13,597.08x = 150,241,266.18
  5. Step 5: Solve for x
    x = 150,241,266.18/13,597.08
  6. Step 6: Final answer
    x = 11,049.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.