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Finding the Fourth Proportional to 24,530.28, 36,779.04 and 9,735.24

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Solution

The fourth proportional to 24,530.28, 36,779.04 and 9,735.24 is: 14,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530.28 : 36,779.04 = 9,735.24 : x
  2. Step 2: Convert to fraction form
    24,530.28/36,779.04 = 9,735.24/x
  3. Step 3: Cross multiply
    24,530.28x = 36,779.04 × 9,735.24
  4. Step 4: Simplify right side
    24,530.28x = 358,052,781.37
  5. Step 5: Solve for x
    x = 358,052,781.37/24,530.28
  6. Step 6: Final answer
    x = 14,596.36

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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.