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Finding the Fourth Proportional to 23,114.54, 34,678.76 and 9,780.68

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Solution

The fourth proportional to 23,114.54, 34,678.76 and 9,780.68 is: 14,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.54 : 34,678.76 = 9,780.68 : x
  2. Step 2: Convert to fraction form
    23,114.54/34,678.76 = 9,780.68/x
  3. Step 3: Cross multiply
    23,114.54x = 34,678.76 × 9,780.68
  4. Step 4: Simplify right side
    23,114.54x = 339,181,854.36
  5. Step 5: Solve for x
    x = 339,181,854.36/23,114.54
  6. Step 6: Final answer
    x = 14,673.96

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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.