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Finding the Fourth Proportional to 14,019.87, 21,006.38 and 9,852.42

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Solution

The fourth proportional to 14,019.87, 21,006.38 and 9,852.42 is: 14,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.87 : 21,006.38 = 9,852.42 : x
  2. Step 2: Convert to fraction form
    14,019.87/21,006.38 = 9,852.42/x
  3. Step 3: Cross multiply
    14,019.87x = 21,006.38 × 9,852.42
  4. Step 4: Simplify right side
    14,019.87x = 206,963,678.44
  5. Step 5: Solve for x
    x = 206,963,678.44/14,019.87
  6. Step 6: Final answer
    x = 14,762.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.