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Finding the Fourth Proportional to 16,964.24, 23,412.84 and 9,513.68

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Solution

The fourth proportional to 16,964.24, 23,412.84 and 9,513.68 is: 13,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.24 : 23,412.84 = 9,513.68 : x
  2. Step 2: Convert to fraction form
    16,964.24/23,412.84 = 9,513.68/x
  3. Step 3: Cross multiply
    16,964.24x = 23,412.84 × 9,513.68
  4. Step 4: Simplify right side
    16,964.24x = 222,742,267.65
  5. Step 5: Solve for x
    x = 222,742,267.65/16,964.24
  6. Step 6: Final answer
    x = 13,130.11

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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.