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Finding the Fourth Proportional to 22,421.02, 33,635.22 and 6,835

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Solution

The fourth proportional to 22,421.02, 33,635.22 and 6,835 is: 10,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.02 : 33,635.22 = 6,835 : x
  2. Step 2: Convert to fraction form
    22,421.02/33,635.22 = 6,835/x
  3. Step 3: Cross multiply
    22,421.02x = 33,635.22 × 6,835
  4. Step 4: Simplify right side
    22,421.02x = 229,896,728.70
  5. Step 5: Solve for x
    x = 229,896,728.70/22,421.02
  6. Step 6: Final answer
    x = 10,253.62

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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.