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Finding the Fourth Proportional to 14,283.76, 19,711.56 and 7,996

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Solution

The fourth proportional to 14,283.76, 19,711.56 and 7,996 is: 11,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.76 : 19,711.56 = 7,996 : x
  2. Step 2: Convert to fraction form
    14,283.76/19,711.56 = 7,996/x
  3. Step 3: Cross multiply
    14,283.76x = 19,711.56 × 7,996
  4. Step 4: Simplify right side
    14,283.76x = 157,613,633.76
  5. Step 5: Solve for x
    x = 157,613,633.76/14,283.76
  6. Step 6: Final answer
    x = 11,034.46

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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.