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Finding the Fourth Proportional to 14,127.75, 19,496.88 and 7,841.34

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Solution

The fourth proportional to 14,127.75, 19,496.88 and 7,841.34 is: 10,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.75 : 19,496.88 = 7,841.34 : x
  2. Step 2: Convert to fraction form
    14,127.75/19,496.88 = 7,841.34/x
  3. Step 3: Cross multiply
    14,127.75x = 19,496.88 × 7,841.34
  4. Step 4: Simplify right side
    14,127.75x = 152,881,665.02
  5. Step 5: Solve for x
    x = 152,881,665.02/14,127.75
  6. Step 6: Final answer
    x = 10,821.37

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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.