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Finding the Fourth Proportional to 12,497.60, 17,246.69 and 6,832.37

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Solution

The fourth proportional to 12,497.60, 17,246.69 and 6,832.37 is: 9,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.60 : 17,246.69 = 6,832.37 : x
  2. Step 2: Convert to fraction form
    12,497.60/17,246.69 = 6,832.37/x
  3. Step 3: Cross multiply
    12,497.60x = 17,246.69 × 6,832.37
  4. Step 4: Simplify right side
    12,497.60x = 117,835,733.19
  5. Step 5: Solve for x
    x = 117,835,733.19/12,497.60
  6. Step 6: Final answer
    x = 9,428.67

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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.