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Finding the Fourth Proportional to 13,729.32, 18,946.26 and 7,762.92

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Solution

The fourth proportional to 13,729.32, 18,946.26 and 7,762.92 is: 10,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.32 : 18,946.26 = 7,762.92 : x
  2. Step 2: Convert to fraction form
    13,729.32/18,946.26 = 7,762.92/x
  3. Step 3: Cross multiply
    13,729.32x = 18,946.26 × 7,762.92
  4. Step 4: Simplify right side
    13,729.32x = 147,078,300.68
  5. Step 5: Solve for x
    x = 147,078,300.68/13,729.32
  6. Step 6: Final answer
    x = 10,712.72

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