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Finding the Fourth Proportional to 13,177.54, 19,768.95 and 4,857.59

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Solution

The fourth proportional to 13,177.54, 19,768.95 and 4,857.59 is: 7,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.54 : 19,768.95 = 4,857.59 : x
  2. Step 2: Convert to fraction form
    13,177.54/19,768.95 = 4,857.59/x
  3. Step 3: Cross multiply
    13,177.54x = 19,768.95 × 4,857.59
  4. Step 4: Simplify right side
    13,177.54x = 96,029,503.25
  5. Step 5: Solve for x
    x = 96,029,503.25/13,177.54
  6. Step 6: Final answer
    x = 7,287.36

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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.