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Finding the Fourth Proportional to 13,894.13, 19,178.07 and 12,025.77

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Solution

The fourth proportional to 13,894.13, 19,178.07 and 12,025.77 is: 16,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.13 : 19,178.07 = 12,025.77 : x
  2. Step 2: Convert to fraction form
    13,894.13/19,178.07 = 12,025.77/x
  3. Step 3: Cross multiply
    13,894.13x = 19,178.07 × 12,025.77
  4. Step 4: Simplify right side
    13,894.13x = 230,630,941.85
  5. Step 5: Solve for x
    x = 230,630,941.85/13,894.13
  6. Step 6: Final answer
    x = 16,599.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.