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Finding the Fourth Proportional to 19,180.16, 28,773.06 and 9,825.46

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Solution

The fourth proportional to 19,180.16, 28,773.06 and 9,825.46 is: 14,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,180.16 : 28,773.06 = 9,825.46 : x
  2. Step 2: Convert to fraction form
    19,180.16/28,773.06 = 9,825.46/x
  3. Step 3: Cross multiply
    19,180.16x = 28,773.06 × 9,825.46
  4. Step 4: Simplify right side
    19,180.16x = 282,708,550.11
  5. Step 5: Solve for x
    x = 282,708,550.11/19,180.16
  6. Step 6: Final answer
    x = 14,739.63

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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.