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Finding the Fourth Proportional to 21,685.19, 29,925.79 and 12,732.80

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Solution

The fourth proportional to 21,685.19, 29,925.79 and 12,732.80 is: 17,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685.19 : 29,925.79 = 12,732.80 : x
  2. Step 2: Convert to fraction form
    21,685.19/29,925.79 = 12,732.80/x
  3. Step 3: Cross multiply
    21,685.19x = 29,925.79 × 12,732.80
  4. Step 4: Simplify right side
    21,685.19x = 381,038,917.45
  5. Step 5: Solve for x
    x = 381,038,917.45/21,685.19
  6. Step 6: Final answer
    x = 17,571.39

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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.