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Finding the Fourth Proportional to 15,142.34, 20,897.43 and 8,427.89

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Solution

The fourth proportional to 15,142.34, 20,897.43 and 8,427.89 is: 11,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.34 : 20,897.43 = 8,427.89 : x
  2. Step 2: Convert to fraction form
    15,142.34/20,897.43 = 8,427.89/x
  3. Step 3: Cross multiply
    15,142.34x = 20,897.43 × 8,427.89
  4. Step 4: Simplify right side
    15,142.34x = 176,121,241.32
  5. Step 5: Solve for x
    x = 176,121,241.32/15,142.34
  6. Step 6: Final answer
    x = 11,631.05

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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.