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Finding the Fourth Proportional to 13,880.16, 19,155.42 and 8,219.34

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Solution

The fourth proportional to 13,880.16, 19,155.42 and 8,219.34 is: 11,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.16 : 19,155.42 = 8,219.34 : x
  2. Step 2: Convert to fraction form
    13,880.16/19,155.42 = 8,219.34/x
  3. Step 3: Cross multiply
    13,880.16x = 19,155.42 × 8,219.34
  4. Step 4: Simplify right side
    13,880.16x = 157,444,909.82
  5. Step 5: Solve for x
    x = 157,444,909.82/13,880.16
  6. Step 6: Final answer
    x = 11,343.16

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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.