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Finding the Fourth Proportional to 24,705.12, 37,058.34 and 8,066.16

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Solution

The fourth proportional to 24,705.12, 37,058.34 and 8,066.16 is: 12,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.12 : 37,058.34 = 8,066.16 : x
  2. Step 2: Convert to fraction form
    24,705.12/37,058.34 = 8,066.16/x
  3. Step 3: Cross multiply
    24,705.12x = 37,058.34 × 8,066.16
  4. Step 4: Simplify right side
    24,705.12x = 298,918,499.77
  5. Step 5: Solve for x
    x = 298,918,499.77/24,705.12
  6. Step 6: Final answer
    x = 12,099.46

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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.