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Finding the Fourth Proportional to 13,284.27, 19,930.55 and 8,347.10

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Solution

The fourth proportional to 13,284.27, 19,930.55 and 8,347.10 is: 12,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.27 : 19,930.55 = 8,347.10 : x
  2. Step 2: Convert to fraction form
    13,284.27/19,930.55 = 8,347.10/x
  3. Step 3: Cross multiply
    13,284.27x = 19,930.55 × 8,347.10
  4. Step 4: Simplify right side
    13,284.27x = 166,362,152.52
  5. Step 5: Solve for x
    x = 166,362,152.52/13,284.27
  6. Step 6: Final answer
    x = 12,523.24

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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.