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Finding the Fourth Proportional to 13,207.40, 18,225.54 and 7,238

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Solution

The fourth proportional to 13,207.40, 18,225.54 and 7,238 is: 9,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.40 : 18,225.54 = 7,238 : x
  2. Step 2: Convert to fraction form
    13,207.40/18,225.54 = 7,238/x
  3. Step 3: Cross multiply
    13,207.40x = 18,225.54 × 7,238
  4. Step 4: Simplify right side
    13,207.40x = 131,916,458.52
  5. Step 5: Solve for x
    x = 131,916,458.52/13,207.40
  6. Step 6: Final answer
    x = 9,988.07

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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.