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Finding the Fourth Proportional to 15,804.23, 21,814.16 and 9,832.32

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Solution

The fourth proportional to 15,804.23, 21,814.16 and 9,832.32 is: 13,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.23 : 21,814.16 = 9,832.32 : x
  2. Step 2: Convert to fraction form
    15,804.23/21,814.16 = 9,832.32/x
  3. Step 3: Cross multiply
    15,804.23x = 21,814.16 × 9,832.32
  4. Step 4: Simplify right side
    15,804.23x = 214,483,752.49
  5. Step 5: Solve for x
    x = 214,483,752.49/15,804.23
  6. Step 6: Final answer
    x = 13,571.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.