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Finding the Fourth Proportional to 24,829.09, 37,235.73 and 8,186.02

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Solution

The fourth proportional to 24,829.09, 37,235.73 and 8,186.02 is: 12,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.09 : 37,235.73 = 8,186.02 : x
  2. Step 2: Convert to fraction form
    24,829.09/37,235.73 = 8,186.02/x
  3. Step 3: Cross multiply
    24,829.09x = 37,235.73 × 8,186.02
  4. Step 4: Simplify right side
    24,829.09x = 304,812,430.49
  5. Step 5: Solve for x
    x = 304,812,430.49/24,829.09
  6. Step 6: Final answer
    x = 12,276.42

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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.