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Finding the Fourth Proportional to 16,963.30, 23,407.84 and 9,409.48

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Solution

The fourth proportional to 16,963.30, 23,407.84 and 9,409.48 is: 12,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.30 : 23,407.84 = 9,409.48 : x
  2. Step 2: Convert to fraction form
    16,963.30/23,407.84 = 9,409.48/x
  3. Step 3: Cross multiply
    16,963.30x = 23,407.84 × 9,409.48
  4. Step 4: Simplify right side
    16,963.30x = 220,255,602.32
  5. Step 5: Solve for x
    x = 220,255,602.32/16,963.30
  6. Step 6: Final answer
    x = 12,984.24

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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.