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Finding the Fourth Proportional to 14,384.88, 19,851.48 and 8,097.84

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Solution

The fourth proportional to 14,384.88, 19,851.48 and 8,097.84 is: 11,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.88 : 19,851.48 = 8,097.84 : x
  2. Step 2: Convert to fraction form
    14,384.88/19,851.48 = 8,097.84/x
  3. Step 3: Cross multiply
    14,384.88x = 19,851.48 × 8,097.84
  4. Step 4: Simplify right side
    14,384.88x = 160,754,108.80
  5. Step 5: Solve for x
    x = 160,754,108.80/14,384.88
  6. Step 6: Final answer
    x = 11,175.21

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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.