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Finding the Fourth Proportional to 23,322.51, 32,185.07 and 12,712.14

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Solution

The fourth proportional to 23,322.51, 32,185.07 and 12,712.14 is: 17,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.51 : 32,185.07 = 12,712.14 : x
  2. Step 2: Convert to fraction form
    23,322.51/32,185.07 = 12,712.14/x
  3. Step 3: Cross multiply
    23,322.51x = 32,185.07 × 12,712.14
  4. Step 4: Simplify right side
    23,322.51x = 409,141,052.19
  5. Step 5: Solve for x
    x = 409,141,052.19/23,322.51
  6. Step 6: Final answer
    x = 17,542.75

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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.