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Finding the Fourth Proportional to 15,474.63, 23,189.27 and 9,613.47

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Solution

The fourth proportional to 15,474.63, 23,189.27 and 9,613.47 is: 14,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474.63 : 23,189.27 = 9,613.47 : x
  2. Step 2: Convert to fraction form
    15,474.63/23,189.27 = 9,613.47/x
  3. Step 3: Cross multiply
    15,474.63x = 23,189.27 × 9,613.47
  4. Step 4: Simplify right side
    15,474.63x = 222,929,303.40
  5. Step 5: Solve for x
    x = 222,929,303.40/15,474.63
  6. Step 6: Final answer
    x = 14,406.12

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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.