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Finding the Fourth Proportional to 24,779.40, 37,165.80 and 9,195

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Solution

The fourth proportional to 24,779.40, 37,165.80 and 9,195 is: 13,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,779.40 : 37,165.80 = 9,195 : x
  2. Step 2: Convert to fraction form
    24,779.40/37,165.80 = 9,195/x
  3. Step 3: Cross multiply
    24,779.40x = 37,165.80 × 9,195
  4. Step 4: Simplify right side
    24,779.40x = 341,739,531
  5. Step 5: Solve for x
    x = 341,739,531/24,779.40
  6. Step 6: Final answer
    x = 13,791.28

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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.