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Finding the Fourth Proportional to 13,735.22, 18,955.56 and 7,766.94

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Solution

The fourth proportional to 13,735.22, 18,955.56 and 7,766.94 is: 10,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.22 : 18,955.56 = 7,766.94 : x
  2. Step 2: Convert to fraction form
    13,735.22/18,955.56 = 7,766.94/x
  3. Step 3: Cross multiply
    13,735.22x = 18,955.56 × 7,766.94
  4. Step 4: Simplify right side
    13,735.22x = 147,226,697.19
  5. Step 5: Solve for x
    x = 147,226,697.19/13,735.22
  6. Step 6: Final answer
    x = 10,718.92

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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.