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Finding the Fourth Proportional to 22,048.84, 30,427.32 and 12,617.38

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Solution

The fourth proportional to 22,048.84, 30,427.32 and 12,617.38 is: 17,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.84 : 30,427.32 = 12,617.38 : x
  2. Step 2: Convert to fraction form
    22,048.84/30,427.32 = 12,617.38/x
  3. Step 3: Cross multiply
    22,048.84x = 30,427.32 × 12,617.38
  4. Step 4: Simplify right side
    22,048.84x = 383,913,058.82
  5. Step 5: Solve for x
    x = 383,913,058.82/22,048.84
  6. Step 6: Final answer
    x = 17,411.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.