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Finding the Fourth Proportional to 24,322.64, 33,564.62 and 13,712.18

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Solution

The fourth proportional to 24,322.64, 33,564.62 and 13,712.18 is: 18,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.64 : 33,564.62 = 13,712.18 : x
  2. Step 2: Convert to fraction form
    24,322.64/33,564.62 = 13,712.18/x
  3. Step 3: Cross multiply
    24,322.64x = 33,564.62 × 13,712.18
  4. Step 4: Simplify right side
    24,322.64x = 460,244,111.07
  5. Step 5: Solve for x
    x = 460,244,111.07/24,322.64
  6. Step 6: Final answer
    x = 18,922.46

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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.