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Finding the Fourth Proportional to 14,155.96, 19,516.86 and 9,111.16

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Solution

The fourth proportional to 14,155.96, 19,516.86 and 9,111.16 is: 12,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,155.96 : 19,516.86 = 9,111.16 : x
  2. Step 2: Convert to fraction form
    14,155.96/19,516.86 = 9,111.16/x
  3. Step 3: Cross multiply
    14,155.96x = 19,516.86 × 9,111.16
  4. Step 4: Simplify right side
    14,155.96x = 177,821,234.16
  5. Step 5: Solve for x
    x = 177,821,234.16/14,155.96
  6. Step 6: Final answer
    x = 12,561.58

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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.