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Finding the Fourth Proportional to 13,897.82, 19,178.84 and 7,610.20

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Solution

The fourth proportional to 13,897.82, 19,178.84 and 7,610.20 is: 10,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.82 : 19,178.84 = 7,610.20 : x
  2. Step 2: Convert to fraction form
    13,897.82/19,178.84 = 7,610.20/x
  3. Step 3: Cross multiply
    13,897.82x = 19,178.84 × 7,610.20
  4. Step 4: Simplify right side
    13,897.82x = 145,954,674.22
  5. Step 5: Solve for x
    x = 145,954,674.22/13,897.82
  6. Step 6: Final answer
    x = 10,501.98

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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.