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Finding the Fourth Proportional to 15,470.46, 23,193.09 and 7,675.02

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Solution

The fourth proportional to 15,470.46, 23,193.09 and 7,675.02 is: 11,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,470.46 : 23,193.09 = 7,675.02 : x
  2. Step 2: Convert to fraction form
    15,470.46/23,193.09 = 7,675.02/x
  3. Step 3: Cross multiply
    15,470.46x = 23,193.09 × 7,675.02
  4. Step 4: Simplify right side
    15,470.46x = 178,007,429.61
  5. Step 5: Solve for x
    x = 178,007,429.61/15,470.46
  6. Step 6: Final answer
    x = 11,506.28

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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.