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Finding the Fourth Proportional to 21,707.44, 32,563.32 and 10,024

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Solution

The fourth proportional to 21,707.44, 32,563.32 and 10,024 is: 15,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.44 : 32,563.32 = 10,024 : x
  2. Step 2: Convert to fraction form
    21,707.44/32,563.32 = 10,024/x
  3. Step 3: Cross multiply
    21,707.44x = 32,563.32 × 10,024
  4. Step 4: Simplify right side
    21,707.44x = 326,414,719.68
  5. Step 5: Solve for x
    x = 326,414,719.68/21,707.44
  6. Step 6: Final answer
    x = 15,037.00

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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.