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Finding the Fourth Proportional to 14,021.53, 19,349.46 and 7,648.17

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Solution

The fourth proportional to 14,021.53, 19,349.46 and 7,648.17 is: 10,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.53 : 19,349.46 = 7,648.17 : x
  2. Step 2: Convert to fraction form
    14,021.53/19,349.46 = 7,648.17/x
  3. Step 3: Cross multiply
    14,021.53x = 19,349.46 × 7,648.17
  4. Step 4: Simplify right side
    14,021.53x = 147,987,959.49
  5. Step 5: Solve for x
    x = 147,987,959.49/14,021.53
  6. Step 6: Final answer
    x = 10,554.34

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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.