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Finding the Fourth Proportional to 21,013.94, 29,000.32 and 11,582.48

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Solution

The fourth proportional to 21,013.94, 29,000.32 and 11,582.48 is: 15,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.94 : 29,000.32 = 11,582.48 : x
  2. Step 2: Convert to fraction form
    21,013.94/29,000.32 = 11,582.48/x
  3. Step 3: Cross multiply
    21,013.94x = 29,000.32 × 11,582.48
  4. Step 4: Simplify right side
    21,013.94x = 335,895,626.39
  5. Step 5: Solve for x
    x = 335,895,626.39/21,013.94
  6. Step 6: Final answer
    x = 15,984.42

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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.