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Finding the Fourth Proportional to 24,943.34, 34,421.64 and 13,765.34

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Solution

The fourth proportional to 24,943.34, 34,421.64 and 13,765.34 is: 18,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,943.34 : 34,421.64 = 13,765.34 : x
  2. Step 2: Convert to fraction form
    24,943.34/34,421.64 = 13,765.34/x
  3. Step 3: Cross multiply
    24,943.34x = 34,421.64 × 13,765.34
  4. Step 4: Simplify right side
    24,943.34x = 473,825,577.96
  5. Step 5: Solve for x
    x = 473,825,577.96/24,943.34
  6. Step 6: Final answer
    x = 18,996.08

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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.