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Finding the Fourth Proportional to 24,848.30, 37,276.13 and 8,210.09

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Solution

The fourth proportional to 24,848.30, 37,276.13 and 8,210.09 is: 12,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,848.30 : 37,276.13 = 8,210.09 : x
  2. Step 2: Convert to fraction form
    24,848.30/37,276.13 = 8,210.09/x
  3. Step 3: Cross multiply
    24,848.30x = 37,276.13 × 8,210.09
  4. Step 4: Simplify right side
    24,848.30x = 306,040,154.72
  5. Step 5: Solve for x
    x = 306,040,154.72/24,848.30
  6. Step 6: Final answer
    x = 12,316.34

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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.