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Finding the Fourth Proportional to 21,451.41, 32,164.05 and 9,602.91

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Solution

The fourth proportional to 21,451.41, 32,164.05 and 9,602.91 is: 14,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,451.41 : 32,164.05 = 9,602.91 : x
  2. Step 2: Convert to fraction form
    21,451.41/32,164.05 = 9,602.91/x
  3. Step 3: Cross multiply
    21,451.41x = 32,164.05 × 9,602.91
  4. Step 4: Simplify right side
    21,451.41x = 308,868,477.39
  5. Step 5: Solve for x
    x = 308,868,477.39/21,451.41
  6. Step 6: Final answer
    x = 14,398.52

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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.