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Finding the Fourth Proportional to 14,171.76, 19,557.36 and 7,884

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Solution

The fourth proportional to 14,171.76, 19,557.36 and 7,884 is: 10,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.76 : 19,557.36 = 7,884 : x
  2. Step 2: Convert to fraction form
    14,171.76/19,557.36 = 7,884/x
  3. Step 3: Cross multiply
    14,171.76x = 19,557.36 × 7,884
  4. Step 4: Simplify right side
    14,171.76x = 154,190,226.24
  5. Step 5: Solve for x
    x = 154,190,226.24/14,171.76
  6. Step 6: Final answer
    x = 10,880.10

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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.