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Finding the Fourth Proportional to 16,911.40, 23,332.08 and 9,836.32

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Solution

The fourth proportional to 16,911.40, 23,332.08 and 9,836.32 is: 13,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,911.40 : 23,332.08 = 9,836.32 : x
  2. Step 2: Convert to fraction form
    16,911.40/23,332.08 = 9,836.32/x
  3. Step 3: Cross multiply
    16,911.40x = 23,332.08 × 9,836.32
  4. Step 4: Simplify right side
    16,911.40x = 229,501,805.15
  5. Step 5: Solve for x
    x = 229,501,805.15/16,911.40
  6. Step 6: Final answer
    x = 13,570.83

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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.