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Finding the Fourth Proportional to 16,854.36, 23,266.89 and 9,779.42

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Solution

The fourth proportional to 16,854.36, 23,266.89 and 9,779.42 is: 13,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.36 : 23,266.89 = 9,779.42 : x
  2. Step 2: Convert to fraction form
    16,854.36/23,266.89 = 9,779.42/x
  3. Step 3: Cross multiply
    16,854.36x = 23,266.89 × 9,779.42
  4. Step 4: Simplify right side
    16,854.36x = 227,536,573.07
  5. Step 5: Solve for x
    x = 227,536,573.07/16,854.36
  6. Step 6: Final answer
    x = 13,500.16

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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.