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Finding the Fourth Proportional to 17,008.48, 23,470.80 and 9,556

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Solution

The fourth proportional to 17,008.48, 23,470.80 and 9,556 is: 13,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,008.48 : 23,470.80 = 9,556 : x
  2. Step 2: Convert to fraction form
    17,008.48/23,470.80 = 9,556/x
  3. Step 3: Cross multiply
    17,008.48x = 23,470.80 × 9,556
  4. Step 4: Simplify right side
    17,008.48x = 224,286,964.80
  5. Step 5: Solve for x
    x = 224,286,964.80/17,008.48
  6. Step 6: Final answer
    x = 13,186.77

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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.