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Finding the Fourth Proportional to 24,709.60, 37,064.40 and 7,181.20

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Solution

The fourth proportional to 24,709.60, 37,064.40 and 7,181.20 is: 10,771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.60 : 37,064.40 = 7,181.20 : x
  2. Step 2: Convert to fraction form
    24,709.60/37,064.40 = 7,181.20/x
  3. Step 3: Cross multiply
    24,709.60x = 37,064.40 × 7,181.20
  4. Step 4: Simplify right side
    24,709.60x = 266,166,869.28
  5. Step 5: Solve for x
    x = 266,166,869.28/24,709.60
  6. Step 6: Final answer
    x = 10,771.80

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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.