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Finding the Fourth Proportional to 13,969.77, 19,277.69 and 7,681.74

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Solution

The fourth proportional to 13,969.77, 19,277.69 and 7,681.74 is: 10,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.77 : 19,277.69 = 7,681.74 : x
  2. Step 2: Convert to fraction form
    13,969.77/19,277.69 = 7,681.74/x
  3. Step 3: Cross multiply
    13,969.77x = 19,277.69 × 7,681.74
  4. Step 4: Simplify right side
    13,969.77x = 148,086,202.38
  5. Step 5: Solve for x
    x = 148,086,202.38/13,969.77
  6. Step 6: Final answer
    x = 10,600.48

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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.