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Finding the Fourth Proportional to 13,365.40, 20,042.58 and 5,044

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Solution

The fourth proportional to 13,365.40, 20,042.58 and 5,044 is: 7,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365.40 : 20,042.58 = 5,044 : x
  2. Step 2: Convert to fraction form
    13,365.40/20,042.58 = 5,044/x
  3. Step 3: Cross multiply
    13,365.40x = 20,042.58 × 5,044
  4. Step 4: Simplify right side
    13,365.40x = 101,094,773.52
  5. Step 5: Solve for x
    x = 101,094,773.52/13,365.40
  6. Step 6: Final answer
    x = 7,563.92

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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.