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Finding the Fourth Proportional to 12,594.02, 18,874.49 and 5,194.40

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Solution

The fourth proportional to 12,594.02, 18,874.49 and 5,194.40 is: 7,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.02 : 18,874.49 = 5,194.40 : x
  2. Step 2: Convert to fraction form
    12,594.02/18,874.49 = 5,194.40/x
  3. Step 3: Cross multiply
    12,594.02x = 18,874.49 × 5,194.40
  4. Step 4: Simplify right side
    12,594.02x = 98,041,530.51
  5. Step 5: Solve for x
    x = 98,041,530.51/12,594.02
  6. Step 6: Final answer
    x = 7,784.77

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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.