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Finding the Fourth Proportional to 23,101.34, 34,665.76 and 9,773.63

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Solution

The fourth proportional to 23,101.34, 34,665.76 and 9,773.63 is: 14,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.34 : 34,665.76 = 9,773.63 : x
  2. Step 2: Convert to fraction form
    23,101.34/34,665.76 = 9,773.63/x
  3. Step 3: Cross multiply
    23,101.34x = 34,665.76 × 9,773.63
  4. Step 4: Simplify right side
    23,101.34x = 338,810,280.79
  5. Step 5: Solve for x
    x = 338,810,280.79/23,101.34
  6. Step 6: Final answer
    x = 14,666.26

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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.