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Finding the Fourth Proportional to 24,948.88, 37,423.32 and 11,783.14

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Solution

The fourth proportional to 24,948.88, 37,423.32 and 11,783.14 is: 17,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948.88 : 37,423.32 = 11,783.14 : x
  2. Step 2: Convert to fraction form
    24,948.88/37,423.32 = 11,783.14/x
  3. Step 3: Cross multiply
    24,948.88x = 37,423.32 × 11,783.14
  4. Step 4: Simplify right side
    24,948.88x = 440,964,218.82
  5. Step 5: Solve for x
    x = 440,964,218.82/24,948.88
  6. Step 6: Final answer
    x = 17,674.71

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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.