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Finding the Fourth Proportional to 21,494.93, 32,242.39 and 6,705.07

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Solution

The fourth proportional to 21,494.93, 32,242.39 and 6,705.07 is: 10,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.93 : 32,242.39 = 6,705.07 : x
  2. Step 2: Convert to fraction form
    21,494.93/32,242.39 = 6,705.07/x
  3. Step 3: Cross multiply
    21,494.93x = 32,242.39 × 6,705.07
  4. Step 4: Simplify right side
    21,494.93x = 216,187,384.55
  5. Step 5: Solve for x
    x = 216,187,384.55/21,494.93
  6. Step 6: Final answer
    x = 10,057.60

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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.