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Finding the Fourth Proportional to 12,594.24, 18,896.64 and 6,360

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Solution

The fourth proportional to 12,594.24, 18,896.64 and 6,360 is: 9,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.24 : 18,896.64 = 6,360 : x
  2. Step 2: Convert to fraction form
    12,594.24/18,896.64 = 6,360/x
  3. Step 3: Cross multiply
    12,594.24x = 18,896.64 × 6,360
  4. Step 4: Simplify right side
    12,594.24x = 120,182,630.40
  5. Step 5: Solve for x
    x = 120,182,630.40/12,594.24
  6. Step 6: Final answer
    x = 9,542.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.