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Finding the Fourth Proportional to 28,556.56, 42,824.16 and 9,831.28

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Solution

The fourth proportional to 28,556.56, 42,824.16 and 9,831.28 is: 14,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,556.56 : 42,824.16 = 9,831.28 : x
  2. Step 2: Convert to fraction form
    28,556.56/42,824.16 = 9,831.28/x
  3. Step 3: Cross multiply
    28,556.56x = 42,824.16 × 9,831.28
  4. Step 4: Simplify right side
    28,556.56x = 421,016,307.72
  5. Step 5: Solve for x
    x = 421,016,307.72/28,556.56
  6. Step 6: Final answer
    x = 14,743.24

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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.