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Finding the Fourth Proportional to 22,492.10, 33,738.51 and 10,009.22

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Solution

The fourth proportional to 22,492.10, 33,738.51 and 10,009.22 is: 15,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.10 : 33,738.51 = 10,009.22 : x
  2. Step 2: Convert to fraction form
    22,492.10/33,738.51 = 10,009.22/x
  3. Step 3: Cross multiply
    22,492.10x = 33,738.51 × 10,009.22
  4. Step 4: Simplify right side
    22,492.10x = 337,696,169.06
  5. Step 5: Solve for x
    x = 337,696,169.06/22,492.10
  6. Step 6: Final answer
    x = 15,013.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.