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Finding the Fourth Proportional to 13,602.34, 18,770.98 and 7,633.54

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Solution

The fourth proportional to 13,602.34, 18,770.98 and 7,633.54 is: 10,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.34 : 18,770.98 = 7,633.54 : x
  2. Step 2: Convert to fraction form
    13,602.34/18,770.98 = 7,633.54/x
  3. Step 3: Cross multiply
    13,602.34x = 18,770.98 × 7,633.54
  4. Step 4: Simplify right side
    13,602.34x = 143,289,026.67
  5. Step 5: Solve for x
    x = 143,289,026.67/13,602.34
  6. Step 6: Final answer
    x = 10,534.15

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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.