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Finding the Fourth Proportional to 25,548.48, 38,319.89 and 6,830.46

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Solution

The fourth proportional to 25,548.48, 38,319.89 and 6,830.46 is: 10,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,548.48 : 38,319.89 = 6,830.46 : x
  2. Step 2: Convert to fraction form
    25,548.48/38,319.89 = 6,830.46/x
  3. Step 3: Cross multiply
    25,548.48x = 38,319.89 × 6,830.46
  4. Step 4: Simplify right side
    25,548.48x = 261,742,441.70
  5. Step 5: Solve for x
    x = 261,742,441.70/25,548.48
  6. Step 6: Final answer
    x = 10,244.93

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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.