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Finding the Fourth Proportional to 12,743.60, 17,590.20 and 7,440.56

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Solution

The fourth proportional to 12,743.60, 17,590.20 and 7,440.56 is: 10,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.60 : 17,590.20 = 7,440.56 : x
  2. Step 2: Convert to fraction form
    12,743.60/17,590.20 = 7,440.56/x
  3. Step 3: Cross multiply
    12,743.60x = 17,590.20 × 7,440.56
  4. Step 4: Simplify right side
    12,743.60x = 130,880,938.51
  5. Step 5: Solve for x
    x = 130,880,938.51/12,743.60
  6. Step 6: Final answer
    x = 10,270.33

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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.