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Finding the Fourth Proportional to 24,751.40, 37,112.50 and 9,947.84

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Solution

The fourth proportional to 24,751.40, 37,112.50 and 9,947.84 is: 14,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.40 : 37,112.50 = 9,947.84 : x
  2. Step 2: Convert to fraction form
    24,751.40/37,112.50 = 9,947.84/x
  3. Step 3: Cross multiply
    24,751.40x = 37,112.50 × 9,947.84
  4. Step 4: Simplify right side
    24,751.40x = 369,189,212
  5. Step 5: Solve for x
    x = 369,189,212/24,751.40
  6. Step 6: Final answer
    x = 14,915.89

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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.