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Finding the Fourth Proportional to 14,307.84, 19,746 and 8,019.36

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Solution

The fourth proportional to 14,307.84, 19,746 and 8,019.36 is: 11,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.84 : 19,746 = 8,019.36 : x
  2. Step 2: Convert to fraction form
    14,307.84/19,746 = 8,019.36/x
  3. Step 3: Cross multiply
    14,307.84x = 19,746 × 8,019.36
  4. Step 4: Simplify right side
    14,307.84x = 158,350,282.56
  5. Step 5: Solve for x
    x = 158,350,282.56/14,307.84
  6. Step 6: Final answer
    x = 11,067.38

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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.