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Finding the Fourth Proportional to 14,513.67, 21,779.42 and 11,534.49

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Solution

The fourth proportional to 14,513.67, 21,779.42 and 11,534.49 is: 17,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.67 : 21,779.42 = 11,534.49 : x
  2. Step 2: Convert to fraction form
    14,513.67/21,779.42 = 11,534.49/x
  3. Step 3: Cross multiply
    14,513.67x = 21,779.42 × 11,534.49
  4. Step 4: Simplify right side
    14,513.67x = 251,214,444.52
  5. Step 5: Solve for x
    x = 251,214,444.52/14,513.67
  6. Step 6: Final answer
    x = 17,308.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.