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Finding the Fourth Proportional to 13,127.54, 18,113.18 and 7,824.12

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Solution

The fourth proportional to 13,127.54, 18,113.18 and 7,824.12 is: 10,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,127.54 : 18,113.18 = 7,824.12 : x
  2. Step 2: Convert to fraction form
    13,127.54/18,113.18 = 7,824.12/x
  3. Step 3: Cross multiply
    13,127.54x = 18,113.18 × 7,824.12
  4. Step 4: Simplify right side
    13,127.54x = 141,719,693.90
  5. Step 5: Solve for x
    x = 141,719,693.90/13,127.54
  6. Step 6: Final answer
    x = 10,795.60

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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.