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Finding the Fourth Proportional to 22,552.84, 31,122.84 and 12,616.84

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Solution

The fourth proportional to 22,552.84, 31,122.84 and 12,616.84 is: 17,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.84 : 31,122.84 = 12,616.84 : x
  2. Step 2: Convert to fraction form
    22,552.84/31,122.84 = 12,616.84/x
  3. Step 3: Cross multiply
    22,552.84x = 31,122.84 × 12,616.84
  4. Step 4: Simplify right side
    22,552.84x = 392,671,892.63
  5. Step 5: Solve for x
    x = 392,671,892.63/22,552.84
  6. Step 6: Final answer
    x = 17,411.19

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1.5x scale

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.