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Finding the Fourth Proportional to 13,243.64, 19,942.43 and 9,570.92

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Solution

The fourth proportional to 13,243.64, 19,942.43 and 9,570.92 is: 14,412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.64 : 19,942.43 = 9,570.92 : x
  2. Step 2: Convert to fraction form
    13,243.64/19,942.43 = 9,570.92/x
  3. Step 3: Cross multiply
    13,243.64x = 19,942.43 × 9,570.92
  4. Step 4: Simplify right side
    13,243.64x = 190,867,402.14
  5. Step 5: Solve for x
    x = 190,867,402.14/13,243.64
  6. Step 6: Final answer
    x = 14,412.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.