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Finding the Fourth Proportional to 15,055.38, 22,583.26 and 7,158.64

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Solution

The fourth proportional to 15,055.38, 22,583.26 and 7,158.64 is: 10,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,055.38 : 22,583.26 = 7,158.64 : x
  2. Step 2: Convert to fraction form
    15,055.38/22,583.26 = 7,158.64/x
  3. Step 3: Cross multiply
    15,055.38x = 22,583.26 × 7,158.64
  4. Step 4: Simplify right side
    15,055.38x = 161,665,428.37
  5. Step 5: Solve for x
    x = 161,665,428.37/15,055.38
  6. Step 6: Final answer
    x = 10,738.05

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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.