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Finding the Fourth Proportional to 16,481.16, 22,740.54 and 9,407.40

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Solution

The fourth proportional to 16,481.16, 22,740.54 and 9,407.40 is: 12,980.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481.16 : 22,740.54 = 9,407.40 : x
  2. Step 2: Convert to fraction form
    16,481.16/22,740.54 = 9,407.40/x
  3. Step 3: Cross multiply
    16,481.16x = 22,740.54 × 9,407.40
  4. Step 4: Simplify right side
    16,481.16x = 213,929,356.00
  5. Step 5: Solve for x
    x = 213,929,356.00/16,481.16
  6. Step 6: Final answer
    x = 12,980.24

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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.