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Finding the Fourth Proportional to 21,623.94, 32,424.84 and 9,927

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Solution

The fourth proportional to 21,623.94, 32,424.84 and 9,927 is: 14,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,623.94 : 32,424.84 = 9,927 : x
  2. Step 2: Convert to fraction form
    21,623.94/32,424.84 = 9,927/x
  3. Step 3: Cross multiply
    21,623.94x = 32,424.84 × 9,927
  4. Step 4: Simplify right side
    21,623.94x = 321,881,386.68
  5. Step 5: Solve for x
    x = 321,881,386.68/21,623.94
  6. Step 6: Final answer
    x = 14,885.42

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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.