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Finding the Fourth Proportional to 13,206.72, 18,225.52 and 7,238

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Solution

The fourth proportional to 13,206.72, 18,225.52 and 7,238 is: 9,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.72 : 18,225.52 = 7,238 : x
  2. Step 2: Convert to fraction form
    13,206.72/18,225.52 = 7,238/x
  3. Step 3: Cross multiply
    13,206.72x = 18,225.52 × 7,238
  4. Step 4: Simplify right side
    13,206.72x = 131,916,313.76
  5. Step 5: Solve for x
    x = 131,916,313.76/13,206.72
  6. Step 6: Final answer
    x = 9,988.58

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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.