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Finding the Fourth Proportional to 22,978.84, 31,711.36 and 12,907.30

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Solution

The fourth proportional to 22,978.84, 31,711.36 and 12,907.30 is: 17,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.84 : 31,711.36 = 12,907.30 : x
  2. Step 2: Convert to fraction form
    22,978.84/31,711.36 = 12,907.30/x
  3. Step 3: Cross multiply
    22,978.84x = 31,711.36 × 12,907.30
  4. Step 4: Simplify right side
    22,978.84x = 409,308,036.93
  5. Step 5: Solve for x
    x = 409,308,036.93/22,978.84
  6. Step 6: Final answer
    x = 17,812.39

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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.