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Finding the Fourth Proportional to 13,078.40, 18,047.08 and 7,774.48

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Solution

The fourth proportional to 13,078.40, 18,047.08 and 7,774.48 is: 10,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.40 : 18,047.08 = 7,774.48 : x
  2. Step 2: Convert to fraction form
    13,078.40/18,047.08 = 7,774.48/x
  3. Step 3: Cross multiply
    13,078.40x = 18,047.08 × 7,774.48
  4. Step 4: Simplify right side
    13,078.40x = 140,306,662.52
  5. Step 5: Solve for x
    x = 140,306,662.52/13,078.40
  6. Step 6: Final answer
    x = 10,728.12

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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.