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Finding the Fourth Proportional to 13,178.64, 19,770.59 and 4,858.68

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Solution

The fourth proportional to 13,178.64, 19,770.59 and 4,858.68 is: 7,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.64 : 19,770.59 = 4,858.68 : x
  2. Step 2: Convert to fraction form
    13,178.64/19,770.59 = 4,858.68/x
  3. Step 3: Cross multiply
    13,178.64x = 19,770.59 × 4,858.68
  4. Step 4: Simplify right side
    13,178.64x = 96,058,970.22
  5. Step 5: Solve for x
    x = 96,058,970.22/13,178.64
  6. Step 6: Final answer
    x = 7,288.99

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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.