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Finding the Fourth Proportional to 24,513.04, 36,773 and 9,723.44

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Solution

The fourth proportional to 24,513.04, 36,773 and 9,723.44 is: 14,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.04 : 36,773 = 9,723.44 : x
  2. Step 2: Convert to fraction form
    24,513.04/36,773 = 9,723.44/x
  3. Step 3: Cross multiply
    24,513.04x = 36,773 × 9,723.44
  4. Step 4: Simplify right side
    24,513.04x = 357,560,059.12
  5. Step 5: Solve for x
    x = 357,560,059.12/24,513.04
  6. Step 6: Final answer
    x = 14,586.52

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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.