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Finding the Fourth Proportional to 12,673.64, 19,014.50 and 6,100.20

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Solution

The fourth proportional to 12,673.64, 19,014.50 and 6,100.20 is: 9,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673.64 : 19,014.50 = 6,100.20 : x
  2. Step 2: Convert to fraction form
    12,673.64/19,014.50 = 6,100.20/x
  3. Step 3: Cross multiply
    12,673.64x = 19,014.50 × 6,100.20
  4. Step 4: Simplify right side
    12,673.64x = 115,992,252.90
  5. Step 5: Solve for x
    x = 115,992,252.90/12,673.64
  6. Step 6: Final answer
    x = 9,152.24

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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.