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Finding the Fourth Proportional to 22,978.04, 34,463.04 and 6,334.06

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Solution

The fourth proportional to 22,978.04, 34,463.04 and 6,334.06 is: 9,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.04 : 34,463.04 = 6,334.06 : x
  2. Step 2: Convert to fraction form
    22,978.04/34,463.04 = 6,334.06/x
  3. Step 3: Cross multiply
    22,978.04x = 34,463.04 × 6,334.06
  4. Step 4: Simplify right side
    22,978.04x = 218,290,963.14
  5. Step 5: Solve for x
    x = 218,290,963.14/22,978.04
  6. Step 6: Final answer
    x = 9,499.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.