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Finding the Fourth Proportional to 24,828.49, 37,242.72 and 7,298.31

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Solution

The fourth proportional to 24,828.49, 37,242.72 and 7,298.31 is: 10,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828.49 : 37,242.72 = 7,298.31 : x
  2. Step 2: Convert to fraction form
    24,828.49/37,242.72 = 7,298.31/x
  3. Step 3: Cross multiply
    24,828.49x = 37,242.72 × 7,298.31
  4. Step 4: Simplify right side
    24,828.49x = 271,808,915.80
  5. Step 5: Solve for x
    x = 271,808,915.80/24,828.49
  6. Step 6: Final answer
    x = 10,947.46

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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.