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Finding the Fourth Proportional to 24,097.70, 36,145.20 and 7,457.60

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Solution

The fourth proportional to 24,097.70, 36,145.20 and 7,457.60 is: 11,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.70 : 36,145.20 = 7,457.60 : x
  2. Step 2: Convert to fraction form
    24,097.70/36,145.20 = 7,457.60/x
  3. Step 3: Cross multiply
    24,097.70x = 36,145.20 × 7,457.60
  4. Step 4: Simplify right side
    24,097.70x = 269,556,443.52
  5. Step 5: Solve for x
    x = 269,556,443.52/24,097.70
  6. Step 6: Final answer
    x = 11,185.98

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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.