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Finding the Fourth Proportional to 14,283.68, 19,711.48 and 7,996

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Solution

The fourth proportional to 14,283.68, 19,711.48 and 7,996 is: 11,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.68 : 19,711.48 = 7,996 : x
  2. Step 2: Convert to fraction form
    14,283.68/19,711.48 = 7,996/x
  3. Step 3: Cross multiply
    14,283.68x = 19,711.48 × 7,996
  4. Step 4: Simplify right side
    14,283.68x = 157,612,994.08
  5. Step 5: Solve for x
    x = 157,612,994.08/14,283.68
  6. Step 6: Final answer
    x = 11,034.48

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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.