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Finding the Fourth Proportional to 14,503.78, 21,751.66 and 5,142.57

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Solution

The fourth proportional to 14,503.78, 21,751.66 and 5,142.57 is: 7,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.78 : 21,751.66 = 5,142.57 : x
  2. Step 2: Convert to fraction form
    14,503.78/21,751.66 = 5,142.57/x
  3. Step 3: Cross multiply
    14,503.78x = 21,751.66 × 5,142.57
  4. Step 4: Simplify right side
    14,503.78x = 111,859,434.17
  5. Step 5: Solve for x
    x = 111,859,434.17/14,503.78
  6. Step 6: Final answer
    x = 7,712.43

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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.