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Finding the Fourth Proportional to 24,814.62, 37,225.58 and 7,282.14

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Solution

The fourth proportional to 24,814.62, 37,225.58 and 7,282.14 is: 10,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.62 : 37,225.58 = 7,282.14 : x
  2. Step 2: Convert to fraction form
    24,814.62/37,225.58 = 7,282.14/x
  3. Step 3: Cross multiply
    24,814.62x = 37,225.58 × 7,282.14
  4. Step 4: Simplify right side
    24,814.62x = 271,081,885.14
  5. Step 5: Solve for x
    x = 271,081,885.14/24,814.62
  6. Step 6: Final answer
    x = 10,924.28

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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.