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Finding the Fourth Proportional to 14,283.68, 19,711.52 and 7,996.16

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Solution

The fourth proportional to 14,283.68, 19,711.52 and 7,996.16 is: 11,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.68 : 19,711.52 = 7,996.16 : x
  2. Step 2: Convert to fraction form
    14,283.68/19,711.52 = 7,996.16/x
  3. Step 3: Cross multiply
    14,283.68x = 19,711.52 × 7,996.16
  4. Step 4: Simplify right side
    14,283.68x = 157,616,467.76
  5. Step 5: Solve for x
    x = 157,616,467.76/14,283.68
  6. Step 6: Final answer
    x = 11,034.72

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