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Finding the Fourth Proportional to 13,277.52, 19,904.76 and 7,794

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Solution

The fourth proportional to 13,277.52, 19,904.76 and 7,794 is: 11,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.52 : 19,904.76 = 7,794 : x
  2. Step 2: Convert to fraction form
    13,277.52/19,904.76 = 7,794/x
  3. Step 3: Cross multiply
    13,277.52x = 19,904.76 × 7,794
  4. Step 4: Simplify right side
    13,277.52x = 155,137,699.44
  5. Step 5: Solve for x
    x = 155,137,699.44/13,277.52
  6. Step 6: Final answer
    x = 11,684.24

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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.