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Finding the Fourth Proportional to 19,822.04, 29,749.42 and 9,964.12

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Solution

The fourth proportional to 19,822.04, 29,749.42 and 9,964.12 is: 14,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.04 : 29,749.42 = 9,964.12 : x
  2. Step 2: Convert to fraction form
    19,822.04/29,749.42 = 9,964.12/x
  3. Step 3: Cross multiply
    19,822.04x = 29,749.42 × 9,964.12
  4. Step 4: Simplify right side
    19,822.04x = 296,426,790.81
  5. Step 5: Solve for x
    x = 296,426,790.81/19,822.04
  6. Step 6: Final answer
    x = 14,954.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.