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Finding the Fourth Proportional to 12,728.66, 19,088.39 and 4,406.40

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Solution

The fourth proportional to 12,728.66, 19,088.39 and 4,406.40 is: 6,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.66 : 19,088.39 = 4,406.40 : x
  2. Step 2: Convert to fraction form
    12,728.66/19,088.39 = 4,406.40/x
  3. Step 3: Cross multiply
    12,728.66x = 19,088.39 × 4,406.40
  4. Step 4: Simplify right side
    12,728.66x = 84,111,092.71
  5. Step 5: Solve for x
    x = 84,111,092.71/12,728.66
  6. Step 6: Final answer
    x = 6,608.01

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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.