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Finding the Fourth Proportional to 13,770.38, 19,002.73 and 7,802.57

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Solution

The fourth proportional to 13,770.38, 19,002.73 and 7,802.57 is: 10,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.38 : 19,002.73 = 7,802.57 : x
  2. Step 2: Convert to fraction form
    13,770.38/19,002.73 = 7,802.57/x
  3. Step 3: Cross multiply
    13,770.38x = 19,002.73 × 7,802.57
  4. Step 4: Simplify right side
    13,770.38x = 148,270,131.02
  5. Step 5: Solve for x
    x = 148,270,131.02/13,770.38
  6. Step 6: Final answer
    x = 10,767.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.