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Finding the Fourth Proportional to 13,256.81, 19,878.86 and 7,711.64

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Solution

The fourth proportional to 13,256.81, 19,878.86 and 7,711.64 is: 11,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.81 : 19,878.86 = 7,711.64 : x
  2. Step 2: Convert to fraction form
    13,256.81/19,878.86 = 7,711.64/x
  3. Step 3: Cross multiply
    13,256.81x = 19,878.86 × 7,711.64
  4. Step 4: Simplify right side
    13,256.81x = 153,298,611.93
  5. Step 5: Solve for x
    x = 153,298,611.93/13,256.81
  6. Step 6: Final answer
    x = 11,563.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.