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Finding the Fourth Proportional to 23,341.84, 32,211.72 and 12,731.44

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Solution

The fourth proportional to 23,341.84, 32,211.72 and 12,731.44 is: 17,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,341.84 : 32,211.72 = 12,731.44 : x
  2. Step 2: Convert to fraction form
    23,341.84/32,211.72 = 12,731.44/x
  3. Step 3: Cross multiply
    23,341.84x = 32,211.72 × 12,731.44
  4. Step 4: Simplify right side
    23,341.84x = 410,101,580.48
  5. Step 5: Solve for x
    x = 410,101,580.48/23,341.84
  6. Step 6: Final answer
    x = 17,569.38

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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.