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Finding the Fourth Proportional to 12,731, 17,567.34 and 7,065.56

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Solution

The fourth proportional to 12,731, 17,567.34 and 7,065.56 is: 9,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731 : 17,567.34 = 7,065.56 : x
  2. Step 2: Convert to fraction form
    12,731/17,567.34 = 7,065.56/x
  3. Step 3: Cross multiply
    12,731x = 17,567.34 × 7,065.56
  4. Step 4: Simplify right side
    12,731x = 124,123,094.81
  5. Step 5: Solve for x
    x = 124,123,094.81/12,731
  6. Step 6: Final answer
    x = 9,749.67

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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.