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Finding the Fourth Proportional to 13,557.34, 18,708.78 and 7,588.54

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Solution

The fourth proportional to 13,557.34, 18,708.78 and 7,588.54 is: 10,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,557.34 : 18,708.78 = 7,588.54 : x
  2. Step 2: Convert to fraction form
    13,557.34/18,708.78 = 7,588.54/x
  3. Step 3: Cross multiply
    13,557.34x = 18,708.78 × 7,588.54
  4. Step 4: Simplify right side
    13,557.34x = 141,972,325.38
  5. Step 5: Solve for x
    x = 141,972,325.38/13,557.34
  6. Step 6: Final answer
    x = 10,471.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.