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Finding the Fourth Proportional to 28,548.84, 42,824.20 and 9,828.68

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Solution

The fourth proportional to 28,548.84, 42,824.20 and 9,828.68 is: 14,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,548.84 : 42,824.20 = 9,828.68 : x
  2. Step 2: Convert to fraction form
    28,548.84/42,824.20 = 9,828.68/x
  3. Step 3: Cross multiply
    28,548.84x = 42,824.20 × 9,828.68
  4. Step 4: Simplify right side
    28,548.84x = 420,905,358.06
  5. Step 5: Solve for x
    x = 420,905,358.06/28,548.84
  6. Step 6: Final answer
    x = 14,743.34

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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.