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Finding the Fourth Proportional to 12,728.10, 19,092.15 and 12,509.40

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Solution

The fourth proportional to 12,728.10, 19,092.15 and 12,509.40 is: 18,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.10 : 19,092.15 = 12,509.40 : x
  2. Step 2: Convert to fraction form
    12,728.10/19,092.15 = 12,509.40/x
  3. Step 3: Cross multiply
    12,728.10x = 19,092.15 × 12,509.40
  4. Step 4: Simplify right side
    12,728.10x = 238,831,341.21
  5. Step 5: Solve for x
    x = 238,831,341.21/12,728.10
  6. Step 6: Final answer
    x = 18,764.10

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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.