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Finding the Fourth Proportional to 16,901.40, 23,323.50 and 9,829.02

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Solution

The fourth proportional to 16,901.40, 23,323.50 and 9,829.02 is: 13,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901.40 : 23,323.50 = 9,829.02 : x
  2. Step 2: Convert to fraction form
    16,901.40/23,323.50 = 9,829.02/x
  3. Step 3: Cross multiply
    16,901.40x = 23,323.50 × 9,829.02
  4. Step 4: Simplify right side
    16,901.40x = 229,247,147.97
  5. Step 5: Solve for x
    x = 229,247,147.97/16,901.40
  6. Step 6: Final answer
    x = 13,563.80

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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.