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Finding the Fourth Proportional to 13,913.57, 19,202.06 and 7,946.13

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Solution

The fourth proportional to 13,913.57, 19,202.06 and 7,946.13 is: 10,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.57 : 19,202.06 = 7,946.13 : x
  2. Step 2: Convert to fraction form
    13,913.57/19,202.06 = 7,946.13/x
  3. Step 3: Cross multiply
    13,913.57x = 19,202.06 × 7,946.13
  4. Step 4: Simplify right side
    13,913.57x = 152,582,156.90
  5. Step 5: Solve for x
    x = 152,582,156.90/13,913.57
  6. Step 6: Final answer
    x = 10,966.43

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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.