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Finding the Fourth Proportional to 22,254.96, 30,711.78 and 12,823.50

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Solution

The fourth proportional to 22,254.96, 30,711.78 and 12,823.50 is: 17,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,254.96 : 30,711.78 = 12,823.50 : x
  2. Step 2: Convert to fraction form
    22,254.96/30,711.78 = 12,823.50/x
  3. Step 3: Cross multiply
    22,254.96x = 30,711.78 × 12,823.50
  4. Step 4: Simplify right side
    22,254.96x = 393,832,510.83
  5. Step 5: Solve for x
    x = 393,832,510.83/22,254.96
  6. Step 6: Final answer
    x = 17,696.39

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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.