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Finding the Fourth Proportional to 13,897.67, 19,178.80 and 7,524.26

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Solution

The fourth proportional to 13,897.67, 19,178.80 and 7,524.26 is: 10,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.67 : 19,178.80 = 7,524.26 : x
  2. Step 2: Convert to fraction form
    13,897.67/19,178.80 = 7,524.26/x
  3. Step 3: Cross multiply
    13,897.67x = 19,178.80 × 7,524.26
  4. Step 4: Simplify right side
    13,897.67x = 144,306,328.68
  5. Step 5: Solve for x
    x = 144,306,328.68/13,897.67
  6. Step 6: Final answer
    x = 10,383.49

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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.