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Finding the Fourth Proportional to 13,353.30, 18,427.14 and 7,978.08

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Solution

The fourth proportional to 13,353.30, 18,427.14 and 7,978.08 is: 11,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,353.30 : 18,427.14 = 7,978.08 : x
  2. Step 2: Convert to fraction form
    13,353.30/18,427.14 = 7,978.08/x
  3. Step 3: Cross multiply
    13,353.30x = 18,427.14 × 7,978.08
  4. Step 4: Simplify right side
    13,353.30x = 147,013,197.09
  5. Step 5: Solve for x
    x = 147,013,197.09/13,353.30
  6. Step 6: Final answer
    x = 11,009.50

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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.