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Finding the Fourth Proportional to 13,034.16, 19,556.76 and 6,460.46

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Solution

The fourth proportional to 13,034.16, 19,556.76 and 6,460.46 is: 9,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.16 : 19,556.76 = 6,460.46 : x
  2. Step 2: Convert to fraction form
    13,034.16/19,556.76 = 6,460.46/x
  3. Step 3: Cross multiply
    13,034.16x = 19,556.76 × 6,460.46
  4. Step 4: Simplify right side
    13,034.16x = 126,345,665.71
  5. Step 5: Solve for x
    x = 126,345,665.71/13,034.16
  6. Step 6: Final answer
    x = 9,693.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.