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Finding the Fourth Proportional to 13,243.57, 19,865.35 and 4,923.40

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Solution

The fourth proportional to 13,243.57, 19,865.35 and 4,923.40 is: 7,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.57 : 19,865.35 = 4,923.40 : x
  2. Step 2: Convert to fraction form
    13,243.57/19,865.35 = 4,923.40/x
  3. Step 3: Cross multiply
    13,243.57x = 19,865.35 × 4,923.40
  4. Step 4: Simplify right side
    13,243.57x = 97,805,057.93
  5. Step 5: Solve for x
    x = 97,805,057.93/13,243.57
  6. Step 6: Final answer
    x = 7,385.10

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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.