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Finding the Fourth Proportional to 21,505.08, 32,270.07 and 9,024

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Solution

The fourth proportional to 21,505.08, 32,270.07 and 9,024 is: 13,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.08 : 32,270.07 = 9,024 : x
  2. Step 2: Convert to fraction form
    21,505.08/32,270.07 = 9,024/x
  3. Step 3: Cross multiply
    21,505.08x = 32,270.07 × 9,024
  4. Step 4: Simplify right side
    21,505.08x = 291,205,111.68
  5. Step 5: Solve for x
    x = 291,205,111.68/21,505.08
  6. Step 6: Final answer
    x = 13,541.22

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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.