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Finding the Fourth Proportional to 13,178.63, 19,765.22 and 4,856.49

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Solution

The fourth proportional to 13,178.63, 19,765.22 and 4,856.49 is: 7,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.63 : 19,765.22 = 4,856.49 : x
  2. Step 2: Convert to fraction form
    13,178.63/19,765.22 = 4,856.49/x
  3. Step 3: Cross multiply
    13,178.63x = 19,765.22 × 4,856.49
  4. Step 4: Simplify right side
    13,178.63x = 95,989,569.00
  5. Step 5: Solve for x
    x = 95,989,569.00/13,178.63
  6. Step 6: Final answer
    x = 7,283.73

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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.