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Finding the Fourth Proportional to 23,102.96, 34,625.72 and 10,609.74

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Solution

The fourth proportional to 23,102.96, 34,625.72 and 10,609.74 is: 15,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.96 : 34,625.72 = 10,609.74 : x
  2. Step 2: Convert to fraction form
    23,102.96/34,625.72 = 10,609.74/x
  3. Step 3: Cross multiply
    23,102.96x = 34,625.72 × 10,609.74
  4. Step 4: Simplify right side
    23,102.96x = 367,369,886.51
  5. Step 5: Solve for x
    x = 367,369,886.51/23,102.96
  6. Step 6: Final answer
    x = 15,901.42

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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.