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Finding the Fourth Proportional to 24,619.56, 36,929.40 and 9,829.68

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Solution

The fourth proportional to 24,619.56, 36,929.40 and 9,829.68 is: 14,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,619.56 : 36,929.40 = 9,829.68 : x
  2. Step 2: Convert to fraction form
    24,619.56/36,929.40 = 9,829.68/x
  3. Step 3: Cross multiply
    24,619.56x = 36,929.40 × 9,829.68
  4. Step 4: Simplify right side
    24,619.56x = 363,004,184.59
  5. Step 5: Solve for x
    x = 363,004,184.59/24,619.56
  6. Step 6: Final answer
    x = 14,744.54

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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.