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Finding the Fourth Proportional to 13,407.56, 20,111.74 and 6,388.32

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Solution

The fourth proportional to 13,407.56, 20,111.74 and 6,388.32 is: 9,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.56 : 20,111.74 = 6,388.32 : x
  2. Step 2: Convert to fraction form
    13,407.56/20,111.74 = 6,388.32/x
  3. Step 3: Cross multiply
    13,407.56x = 20,111.74 × 6,388.32
  4. Step 4: Simplify right side
    13,407.56x = 128,480,213.13
  5. Step 5: Solve for x
    x = 128,480,213.13/13,407.56
  6. Step 6: Final answer
    x = 9,582.67

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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.