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Finding the Fourth Proportional to 13,120, 19,682.88 and 4,355.84

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Solution

The fourth proportional to 13,120, 19,682.88 and 4,355.84 is: 6,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120 : 19,682.88 = 4,355.84 : x
  2. Step 2: Convert to fraction form
    13,120/19,682.88 = 4,355.84/x
  3. Step 3: Cross multiply
    13,120x = 19,682.88 × 4,355.84
  4. Step 4: Simplify right side
    13,120x = 85,735,476.02
  5. Step 5: Solve for x
    x = 85,735,476.02/13,120
  6. Step 6: Final answer
    x = 6,534.72

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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.