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Finding the Fourth Proportional to 22,565.66, 33,851.73 and 6,984.50

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Solution

The fourth proportional to 22,565.66, 33,851.73 and 6,984.50 is: 10,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,565.66 : 33,851.73 = 6,984.50 : x
  2. Step 2: Convert to fraction form
    22,565.66/33,851.73 = 6,984.50/x
  3. Step 3: Cross multiply
    22,565.66x = 33,851.73 × 6,984.50
  4. Step 4: Simplify right side
    22,565.66x = 236,437,408.19
  5. Step 5: Solve for x
    x = 236,437,408.19/22,565.66
  6. Step 6: Final answer
    x = 10,477.75

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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.