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Finding the Fourth Proportional to 14,010, 19,333.89 and 7,722.42

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Solution

The fourth proportional to 14,010, 19,333.89 and 7,722.42 is: 10,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010 : 19,333.89 = 7,722.42 : x
  2. Step 2: Convert to fraction form
    14,010/19,333.89 = 7,722.42/x
  3. Step 3: Cross multiply
    14,010x = 19,333.89 × 7,722.42
  4. Step 4: Simplify right side
    14,010x = 149,304,418.81
  5. Step 5: Solve for x
    x = 149,304,418.81/14,010
  6. Step 6: Final answer
    x = 10,656.99

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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.