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Finding the Fourth Proportional to 24,935.60, 37,403.08 and 7,166.66

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Solution

The fourth proportional to 24,935.60, 37,403.08 and 7,166.66 is: 10,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,935.60 : 37,403.08 = 7,166.66 : x
  2. Step 2: Convert to fraction form
    24,935.60/37,403.08 = 7,166.66/x
  3. Step 3: Cross multiply
    24,935.60x = 37,403.08 × 7,166.66
  4. Step 4: Simplify right side
    24,935.60x = 268,055,157.31
  5. Step 5: Solve for x
    x = 268,055,157.31/24,935.60
  6. Step 6: Final answer
    x = 10,749.90

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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.