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Finding the Fourth Proportional to 13,078.68, 19,611.24 and 4,756.50

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Solution

The fourth proportional to 13,078.68, 19,611.24 and 4,756.50 is: 7,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.68 : 19,611.24 = 4,756.50 : x
  2. Step 2: Convert to fraction form
    13,078.68/19,611.24 = 4,756.50/x
  3. Step 3: Cross multiply
    13,078.68x = 19,611.24 × 4,756.50
  4. Step 4: Simplify right side
    13,078.68x = 93,280,863.06
  5. Step 5: Solve for x
    x = 93,280,863.06/13,078.68
  6. Step 6: Final answer
    x = 7,132.28

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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.