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Finding the Fourth Proportional to 22,984.41, 34,475.93 and 6,345.46

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Solution

The fourth proportional to 22,984.41, 34,475.93 and 6,345.46 is: 9,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.41 : 34,475.93 = 6,345.46 : x
  2. Step 2: Convert to fraction form
    22,984.41/34,475.93 = 6,345.46/x
  3. Step 3: Cross multiply
    22,984.41x = 34,475.93 × 6,345.46
  4. Step 4: Simplify right side
    22,984.41x = 218,765,634.78
  5. Step 5: Solve for x
    x = 218,765,634.78/22,984.41
  6. Step 6: Final answer
    x = 9,518.00

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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.