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Finding the Fourth Proportional to 21,002.34, 28,982.19 and 11,569.14

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Solution

The fourth proportional to 21,002.34, 28,982.19 and 11,569.14 is: 15,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.34 : 28,982.19 = 11,569.14 : x
  2. Step 2: Convert to fraction form
    21,002.34/28,982.19 = 11,569.14/x
  3. Step 3: Cross multiply
    21,002.34x = 28,982.19 × 11,569.14
  4. Step 4: Simplify right side
    21,002.34x = 335,299,013.62
  5. Step 5: Solve for x
    x = 335,299,013.62/21,002.34
  6. Step 6: Final answer
    x = 15,964.84

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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.