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Finding the Fourth Proportional to 13,779.76, 19,022.60 and 8,814.64

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Solution

The fourth proportional to 13,779.76, 19,022.60 and 8,814.64 is: 12,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,779.76 : 19,022.60 = 8,814.64 : x
  2. Step 2: Convert to fraction form
    13,779.76/19,022.60 = 8,814.64/x
  3. Step 3: Cross multiply
    13,779.76x = 19,022.60 × 8,814.64
  4. Step 4: Simplify right side
    13,779.76x = 167,677,370.86
  5. Step 5: Solve for x
    x = 167,677,370.86/13,779.76
  6. Step 6: Final answer
    x = 12,168.38

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Why These Related Problems?

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