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Finding the Fourth Proportional to 21,416.22, 32,127.98 and 6,424.29

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Solution

The fourth proportional to 21,416.22, 32,127.98 and 6,424.29 is: 9,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.22 : 32,127.98 = 6,424.29 : x
  2. Step 2: Convert to fraction form
    21,416.22/32,127.98 = 6,424.29/x
  3. Step 3: Cross multiply
    21,416.22x = 32,127.98 × 6,424.29
  4. Step 4: Simplify right side
    21,416.22x = 206,399,428.51
  5. Step 5: Solve for x
    x = 206,399,428.51/21,416.22
  6. Step 6: Final answer
    x = 9,637.53

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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.