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Finding the Fourth Proportional to 13,897.77, 19,178.95 and 7,524.43

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Solution

The fourth proportional to 13,897.77, 19,178.95 and 7,524.43 is: 10,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.77 : 19,178.95 = 7,524.43 : x
  2. Step 2: Convert to fraction form
    13,897.77/19,178.95 = 7,524.43/x
  3. Step 3: Cross multiply
    13,897.77x = 19,178.95 × 7,524.43
  4. Step 4: Simplify right side
    13,897.77x = 144,310,533.23
  5. Step 5: Solve for x
    x = 144,310,533.23/13,897.77
  6. Step 6: Final answer
    x = 10,383.72

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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.