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Finding the Fourth Proportional to 15,428.66, 23,144.06 and 7,635.38

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Solution

The fourth proportional to 15,428.66, 23,144.06 and 7,635.38 is: 11,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428.66 : 23,144.06 = 7,635.38 : x
  2. Step 2: Convert to fraction form
    15,428.66/23,144.06 = 7,635.38/x
  3. Step 3: Cross multiply
    15,428.66x = 23,144.06 × 7,635.38
  4. Step 4: Simplify right side
    15,428.66x = 176,713,596.21
  5. Step 5: Solve for x
    x = 176,713,596.21/15,428.66
  6. Step 6: Final answer
    x = 11,453.60

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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.