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Finding the Fourth Proportional to 15,312.84, 22,876.22 and 9,721.41

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Solution

The fourth proportional to 15,312.84, 22,876.22 and 9,721.41 is: 14,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.84 : 22,876.22 = 9,721.41 : x
  2. Step 2: Convert to fraction form
    15,312.84/22,876.22 = 9,721.41/x
  3. Step 3: Cross multiply
    15,312.84x = 22,876.22 × 9,721.41
  4. Step 4: Simplify right side
    15,312.84x = 222,389,113.87
  5. Step 5: Solve for x
    x = 222,389,113.87/15,312.84
  6. Step 6: Final answer
    x = 14,523.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.