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Finding the Fourth Proportional to 13,947, 19,247.76 and 7,980.60

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Solution

The fourth proportional to 13,947, 19,247.76 and 7,980.60 is: 11,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947 : 19,247.76 = 7,980.60 : x
  2. Step 2: Convert to fraction form
    13,947/19,247.76 = 7,980.60/x
  3. Step 3: Cross multiply
    13,947x = 19,247.76 × 7,980.60
  4. Step 4: Simplify right side
    13,947x = 153,608,673.46
  5. Step 5: Solve for x
    x = 153,608,673.46/13,947
  6. Step 6: Final answer
    x = 11,013.74

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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.