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Finding the Fourth Proportional to 15,490.35, 21,378.53 and 9,202.75

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Solution

The fourth proportional to 15,490.35, 21,378.53 and 9,202.75 is: 12,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490.35 : 21,378.53 = 9,202.75 : x
  2. Step 2: Convert to fraction form
    15,490.35/21,378.53 = 9,202.75/x
  3. Step 3: Cross multiply
    15,490.35x = 21,378.53 × 9,202.75
  4. Step 4: Simplify right side
    15,490.35x = 196,741,220.94
  5. Step 5: Solve for x
    x = 196,741,220.94/15,490.35
  6. Step 6: Final answer
    x = 12,700.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.