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Finding the Fourth Proportional to 23,431.40, 32,335.29 and 12,821.03

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Solution

The fourth proportional to 23,431.40, 32,335.29 and 12,821.03 is: 17,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,431.40 : 32,335.29 = 12,821.03 : x
  2. Step 2: Convert to fraction form
    23,431.40/32,335.29 = 12,821.03/x
  3. Step 3: Cross multiply
    23,431.40x = 32,335.29 × 12,821.03
  4. Step 4: Simplify right side
    23,431.40x = 414,571,561.47
  5. Step 5: Solve for x
    x = 414,571,561.47/23,431.40
  6. Step 6: Final answer
    x = 17,693.00

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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.