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Finding the Fourth Proportional to 23,261.09, 34,897.05 and 7,678.71

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Solution

The fourth proportional to 23,261.09, 34,897.05 and 7,678.71 is: 11,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,261.09 : 34,897.05 = 7,678.71 : x
  2. Step 2: Convert to fraction form
    23,261.09/34,897.05 = 7,678.71/x
  3. Step 3: Cross multiply
    23,261.09x = 34,897.05 × 7,678.71
  4. Step 4: Simplify right side
    23,261.09x = 267,964,326.81
  5. Step 5: Solve for x
    x = 267,964,326.81/23,261.09
  6. Step 6: Final answer
    x = 11,519.86

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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.