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Finding the Fourth Proportional to 22,374.77, 30,877.21 and 12,303.38

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Solution

The fourth proportional to 22,374.77, 30,877.21 and 12,303.38 is: 16,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,374.77 : 30,877.21 = 12,303.38 : x
  2. Step 2: Convert to fraction form
    22,374.77/30,877.21 = 12,303.38/x
  3. Step 3: Cross multiply
    22,374.77x = 30,877.21 × 12,303.38
  4. Step 4: Simplify right side
    22,374.77x = 379,894,047.97
  5. Step 5: Solve for x
    x = 379,894,047.97/22,374.77
  6. Step 6: Final answer
    x = 16,978.68

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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.