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Finding the Fourth Proportional to 13,894.72, 19,168.64 and 8,305.76

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Solution

The fourth proportional to 13,894.72, 19,168.64 and 8,305.76 is: 11,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.72 : 19,168.64 = 8,305.76 : x
  2. Step 2: Convert to fraction form
    13,894.72/19,168.64 = 8,305.76/x
  3. Step 3: Cross multiply
    13,894.72x = 19,168.64 × 8,305.76
  4. Step 4: Simplify right side
    13,894.72x = 159,210,123.37
  5. Step 5: Solve for x
    x = 159,210,123.37/13,894.72
  6. Step 6: Final answer
    x = 11,458.32

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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.