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Finding the Fourth Proportional to 13,897.52, 19,178.60 and 7,524.17

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Solution

The fourth proportional to 13,897.52, 19,178.60 and 7,524.17 is: 10,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.52 : 19,178.60 = 7,524.17 : x
  2. Step 2: Convert to fraction form
    13,897.52/19,178.60 = 7,524.17/x
  3. Step 3: Cross multiply
    13,897.52x = 19,178.60 × 7,524.17
  4. Step 4: Simplify right side
    13,897.52x = 144,303,046.76
  5. Step 5: Solve for x
    x = 144,303,046.76/13,897.52
  6. Step 6: Final answer
    x = 10,383.37

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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.