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Finding the Fourth Proportional to 24,728, 37,096.65 and 9,938.09

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Solution

The fourth proportional to 24,728, 37,096.65 and 9,938.09 is: 14,909.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728 : 37,096.65 = 9,938.09 : x
  2. Step 2: Convert to fraction form
    24,728/37,096.65 = 9,938.09/x
  3. Step 3: Cross multiply
    24,728x = 37,096.65 × 9,938.09
  4. Step 4: Simplify right side
    24,728x = 368,669,846.40
  5. Step 5: Solve for x
    x = 368,669,846.40/24,728
  6. Step 6: Final answer
    x = 14,909.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.