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Finding the Fourth Proportional to 23,412.66, 32,309.16 and 13,341.69

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Solution

The fourth proportional to 23,412.66, 32,309.16 and 13,341.69 is: 18,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.66 : 32,309.16 = 13,341.69 : x
  2. Step 2: Convert to fraction form
    23,412.66/32,309.16 = 13,341.69/x
  3. Step 3: Cross multiply
    23,412.66x = 32,309.16 × 13,341.69
  4. Step 4: Simplify right side
    23,412.66x = 431,058,796.88
  5. Step 5: Solve for x
    x = 431,058,796.88/23,412.66
  6. Step 6: Final answer
    x = 18,411.36

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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.