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Finding the Fourth Proportional to 23,259.84, 34,890.48 and 7,678.68

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Solution

The fourth proportional to 23,259.84, 34,890.48 and 7,678.68 is: 11,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,259.84 : 34,890.48 = 7,678.68 : x
  2. Step 2: Convert to fraction form
    23,259.84/34,890.48 = 7,678.68/x
  3. Step 3: Cross multiply
    23,259.84x = 34,890.48 × 7,678.68
  4. Step 4: Simplify right side
    23,259.84x = 267,912,830.97
  5. Step 5: Solve for x
    x = 267,912,830.97/23,259.84
  6. Step 6: Final answer
    x = 11,518.26

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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.