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Finding the Fourth Proportional to 12,538.45, 17,303.06 and 6,795.92

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Solution

The fourth proportional to 12,538.45, 17,303.06 and 6,795.92 is: 9,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.45 : 17,303.06 = 6,795.92 : x
  2. Step 2: Convert to fraction form
    12,538.45/17,303.06 = 6,795.92/x
  3. Step 3: Cross multiply
    12,538.45x = 17,303.06 × 6,795.92
  4. Step 4: Simplify right side
    12,538.45x = 117,590,211.52
  5. Step 5: Solve for x
    x = 117,590,211.52/12,538.45
  6. Step 6: Final answer
    x = 9,378.37

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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.