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Finding the Fourth Proportional to 11,302.70, 16,941.74 and 9,654.25

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Solution

The fourth proportional to 11,302.70, 16,941.74 and 9,654.25 is: 14,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.70 : 16,941.74 = 9,654.25 : x
  2. Step 2: Convert to fraction form
    11,302.70/16,941.74 = 9,654.25/x
  3. Step 3: Cross multiply
    11,302.70x = 16,941.74 × 9,654.25
  4. Step 4: Simplify right side
    11,302.70x = 163,559,660.42
  5. Step 5: Solve for x
    x = 163,559,660.42/11,302.70
  6. Step 6: Final answer
    x = 14,470.85

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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.