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Finding the Fourth Proportional to 11,957.19, 16,501.46 and 9,964.41

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Solution

The fourth proportional to 11,957.19, 16,501.46 and 9,964.41 is: 13,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.19 : 16,501.46 = 9,964.41 : x
  2. Step 2: Convert to fraction form
    11,957.19/16,501.46 = 9,964.41/x
  3. Step 3: Cross multiply
    11,957.19x = 16,501.46 × 9,964.41
  4. Step 4: Simplify right side
    11,957.19x = 164,427,263.22
  5. Step 5: Solve for x
    x = 164,427,263.22/11,957.19
  6. Step 6: Final answer
    x = 13,751.33

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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.