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Finding the Fourth Proportional to 13,178.48, 19,770.54 and 4,858.52

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Solution

The fourth proportional to 13,178.48, 19,770.54 and 4,858.52 is: 7,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.48 : 19,770.54 = 4,858.52 : x
  2. Step 2: Convert to fraction form
    13,178.48/19,770.54 = 4,858.52/x
  3. Step 3: Cross multiply
    13,178.48x = 19,770.54 × 4,858.52
  4. Step 4: Simplify right side
    13,178.48x = 96,055,564.00
  5. Step 5: Solve for x
    x = 96,055,564.00/13,178.48
  6. Step 6: Final answer
    x = 7,288.82

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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.