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Finding the Fourth Proportional to 24,700.56, 37,057.08 and 7,170

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Solution

The fourth proportional to 24,700.56, 37,057.08 and 7,170 is: 10,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700.56 : 37,057.08 = 7,170 : x
  2. Step 2: Convert to fraction form
    24,700.56/37,057.08 = 7,170/x
  3. Step 3: Cross multiply
    24,700.56x = 37,057.08 × 7,170
  4. Step 4: Simplify right side
    24,700.56x = 265,699,263.60
  5. Step 5: Solve for x
    x = 265,699,263.60/24,700.56
  6. Step 6: Final answer
    x = 10,756.81

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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.