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Finding the Fourth Proportional to 21,732.87, 32,615.64 and 10,054.29

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Solution

The fourth proportional to 21,732.87, 32,615.64 and 10,054.29 is: 15,088.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.87 : 32,615.64 = 10,054.29 : x
  2. Step 2: Convert to fraction form
    21,732.87/32,615.64 = 10,054.29/x
  3. Step 3: Cross multiply
    21,732.87x = 32,615.64 × 10,054.29
  4. Step 4: Simplify right side
    21,732.87x = 327,927,103.10
  5. Step 5: Solve for x
    x = 327,927,103.10/21,732.87
  6. Step 6: Final answer
    x = 15,088.99

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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.