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Finding the Fourth Proportional to 13,139.37, 19,683.12 and 9,856.17

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Solution

The fourth proportional to 13,139.37, 19,683.12 and 9,856.17 is: 14,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.37 : 19,683.12 = 9,856.17 : x
  2. Step 2: Convert to fraction form
    13,139.37/19,683.12 = 9,856.17/x
  3. Step 3: Cross multiply
    13,139.37x = 19,683.12 × 9,856.17
  4. Step 4: Simplify right side
    13,139.37x = 194,000,176.85
  5. Step 5: Solve for x
    x = 194,000,176.85/13,139.37
  6. Step 6: Final answer
    x = 14,764.80

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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.