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Finding the Fourth Proportional to 12,632.12, 17,430.90 and 7,325

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Solution

The fourth proportional to 12,632.12, 17,430.90 and 7,325 is: 10,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.12 : 17,430.90 = 7,325 : x
  2. Step 2: Convert to fraction form
    12,632.12/17,430.90 = 7,325/x
  3. Step 3: Cross multiply
    12,632.12x = 17,430.90 × 7,325
  4. Step 4: Simplify right side
    12,632.12x = 127,681,342.50
  5. Step 5: Solve for x
    x = 127,681,342.50/12,632.12
  6. Step 6: Final answer
    x = 10,107.67

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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.