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Finding the Fourth Proportional to 27,407.46, 41,078.16 and 16,290.12

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Solution

The fourth proportional to 27,407.46, 41,078.16 and 16,290.12 is: 24,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.46 : 41,078.16 = 16,290.12 : x
  2. Step 2: Convert to fraction form
    27,407.46/41,078.16 = 16,290.12/x
  3. Step 3: Cross multiply
    27,407.46x = 41,078.16 × 16,290.12
  4. Step 4: Simplify right side
    27,407.46x = 669,168,155.78
  5. Step 5: Solve for x
    x = 669,168,155.78/27,407.46
  6. Step 6: Final answer
    x = 24,415.55

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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.