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Finding the Fourth Proportional to 16,963.07, 23,409.14 and 9,409.64

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Solution

The fourth proportional to 16,963.07, 23,409.14 and 9,409.64 is: 12,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.07 : 23,409.14 = 9,409.64 : x
  2. Step 2: Convert to fraction form
    16,963.07/23,409.14 = 9,409.64/x
  3. Step 3: Cross multiply
    16,963.07x = 23,409.14 × 9,409.64
  4. Step 4: Simplify right side
    16,963.07x = 220,271,416.02
  5. Step 5: Solve for x
    x = 220,271,416.02/16,963.07
  6. Step 6: Final answer
    x = 12,985.35

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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.