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Finding the Fourth Proportional to 17,766.30, 26,623.53 and 9,977.34

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Solution

The fourth proportional to 17,766.30, 26,623.53 and 9,977.34 is: 14,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.30 : 26,623.53 = 9,977.34 : x
  2. Step 2: Convert to fraction form
    17,766.30/26,623.53 = 9,977.34/x
  3. Step 3: Cross multiply
    17,766.30x = 26,623.53 × 9,977.34
  4. Step 4: Simplify right side
    17,766.30x = 265,632,010.81
  5. Step 5: Solve for x
    x = 265,632,010.81/17,766.30
  6. Step 6: Final answer
    x = 14,951.45

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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.