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Finding the Fourth Proportional to 21,144.76, 29,178.51 and 11,582.74

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Solution

The fourth proportional to 21,144.76, 29,178.51 and 11,582.74 is: 15,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.76 : 29,178.51 = 11,582.74 : x
  2. Step 2: Convert to fraction form
    21,144.76/29,178.51 = 11,582.74/x
  3. Step 3: Cross multiply
    21,144.76x = 29,178.51 × 11,582.74
  4. Step 4: Simplify right side
    21,144.76x = 337,966,949.02
  5. Step 5: Solve for x
    x = 337,966,949.02/21,144.76
  6. Step 6: Final answer
    x = 15,983.49

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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.