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Finding the Fourth Proportional to 14,400.16, 19,871.76 and 8,111.68

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Solution

The fourth proportional to 14,400.16, 19,871.76 and 8,111.68 is: 11,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.16 : 19,871.76 = 8,111.68 : x
  2. Step 2: Convert to fraction form
    14,400.16/19,871.76 = 8,111.68/x
  3. Step 3: Cross multiply
    14,400.16x = 19,871.76 × 8,111.68
  4. Step 4: Simplify right side
    14,400.16x = 161,193,358.16
  5. Step 5: Solve for x
    x = 161,193,358.16/14,400.16
  6. Step 6: Final answer
    x = 11,193.86

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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.