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Finding the Fourth Proportional to 15,474.85, 23,196.89 and 9,225.50

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Solution

The fourth proportional to 15,474.85, 23,196.89 and 9,225.50 is: 13,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474.85 : 23,196.89 = 9,225.50 : x
  2. Step 2: Convert to fraction form
    15,474.85/23,196.89 = 9,225.50/x
  3. Step 3: Cross multiply
    15,474.85x = 23,196.89 × 9,225.50
  4. Step 4: Simplify right side
    15,474.85x = 214,002,828.75
  5. Step 5: Solve for x
    x = 214,002,828.75/15,474.85
  6. Step 6: Final answer
    x = 13,829.08

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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.