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Finding the Fourth Proportional to 12,663.69, 17,438.13 and 10,002.84

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Solution

The fourth proportional to 12,663.69, 17,438.13 and 10,002.84 is: 13,774.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.69 : 17,438.13 = 10,002.84 : x
  2. Step 2: Convert to fraction form
    12,663.69/17,438.13 = 10,002.84/x
  3. Step 3: Cross multiply
    12,663.69x = 17,438.13 × 10,002.84
  4. Step 4: Simplify right side
    12,663.69x = 174,430,824.29
  5. Step 5: Solve for x
    x = 174,430,824.29/12,663.69
  6. Step 6: Final answer
    x = 13,774.09

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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.