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Finding the Fourth Proportional to 14,648.04, 20,193.30 and 10,449

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Solution

The fourth proportional to 14,648.04, 20,193.30 and 10,449 is: 14,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.04 : 20,193.30 = 10,449 : x
  2. Step 2: Convert to fraction form
    14,648.04/20,193.30 = 10,449/x
  3. Step 3: Cross multiply
    14,648.04x = 20,193.30 × 10,449
  4. Step 4: Simplify right side
    14,648.04x = 210,999,791.70
  5. Step 5: Solve for x
    x = 210,999,791.70/14,648.04
  6. Step 6: Final answer
    x = 14,404.64

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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.