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Finding the Fourth Proportional to 22,300.83, 33,451.59 and 6,505.92

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Solution

The fourth proportional to 22,300.83, 33,451.59 and 6,505.92 is: 9,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.83 : 33,451.59 = 6,505.92 : x
  2. Step 2: Convert to fraction form
    22,300.83/33,451.59 = 6,505.92/x
  3. Step 3: Cross multiply
    22,300.83x = 33,451.59 × 6,505.92
  4. Step 4: Simplify right side
    22,300.83x = 217,633,368.41
  5. Step 5: Solve for x
    x = 217,633,368.41/22,300.83
  6. Step 6: Final answer
    x = 9,758.98

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