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Finding the Fourth Proportional to 22,133.16, 33,204.60 and 10,440

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Solution

The fourth proportional to 22,133.16, 33,204.60 and 10,440 is: 15,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.16 : 33,204.60 = 10,440 : x
  2. Step 2: Convert to fraction form
    22,133.16/33,204.60 = 10,440/x
  3. Step 3: Cross multiply
    22,133.16x = 33,204.60 × 10,440
  4. Step 4: Simplify right side
    22,133.16x = 346,656,024
  5. Step 5: Solve for x
    x = 346,656,024/22,133.16
  6. Step 6: Final answer
    x = 15,662.29

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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.