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Finding the Fourth Proportional to 13,880.54, 19,157.24 and 8,847

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Solution

The fourth proportional to 13,880.54, 19,157.24 and 8,847 is: 12,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.54 : 19,157.24 = 8,847 : x
  2. Step 2: Convert to fraction form
    13,880.54/19,157.24 = 8,847/x
  3. Step 3: Cross multiply
    13,880.54x = 19,157.24 × 8,847
  4. Step 4: Simplify right side
    13,880.54x = 169,484,124.40
  5. Step 5: Solve for x
    x = 169,484,124.40/13,880.54
  6. Step 6: Final answer
    x = 12,210.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.