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Finding the Fourth Proportional to 12,801.60, 17,664.48 and 7,498.14

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Solution

The fourth proportional to 12,801.60, 17,664.48 and 7,498.14 is: 10,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.60 : 17,664.48 = 7,498.14 : x
  2. Step 2: Convert to fraction form
    12,801.60/17,664.48 = 7,498.14/x
  3. Step 3: Cross multiply
    12,801.60x = 17,664.48 × 7,498.14
  4. Step 4: Simplify right side
    12,801.60x = 132,450,744.07
  5. Step 5: Solve for x
    x = 132,450,744.07/12,801.60
  6. Step 6: Final answer
    x = 10,346.42

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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.