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Finding the Fourth Proportional to 13,277.58, 18,323.38 and 7,308.69

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Solution

The fourth proportional to 13,277.58, 18,323.38 and 7,308.69 is: 10,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.58 : 18,323.38 = 7,308.69 : x
  2. Step 2: Convert to fraction form
    13,277.58/18,323.38 = 7,308.69/x
  3. Step 3: Cross multiply
    13,277.58x = 18,323.38 × 7,308.69
  4. Step 4: Simplify right side
    13,277.58x = 133,919,904.17
  5. Step 5: Solve for x
    x = 133,919,904.17/13,277.58
  6. Step 6: Final answer
    x = 10,086.17

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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.