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Finding the Fourth Proportional to 23,498.20, 32,428.46 and 12,888.22

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Solution

The fourth proportional to 23,498.20, 32,428.46 and 12,888.22 is: 17,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.20 : 32,428.46 = 12,888.22 : x
  2. Step 2: Convert to fraction form
    23,498.20/32,428.46 = 12,888.22/x
  3. Step 3: Cross multiply
    23,498.20x = 32,428.46 × 12,888.22
  4. Step 4: Simplify right side
    23,498.20x = 417,945,126.74
  5. Step 5: Solve for x
    x = 417,945,126.74/23,498.20
  6. Step 6: Final answer
    x = 17,786.26

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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.