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Finding the Fourth Proportional to 13,318.34, 19,980.86 and 3,830.68

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Solution

The fourth proportional to 13,318.34, 19,980.86 and 3,830.68 is: 5,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,318.34 : 19,980.86 = 3,830.68 : x
  2. Step 2: Convert to fraction form
    13,318.34/19,980.86 = 3,830.68/x
  3. Step 3: Cross multiply
    13,318.34x = 19,980.86 × 3,830.68
  4. Step 4: Simplify right side
    13,318.34x = 76,540,195.76
  5. Step 5: Solve for x
    x = 76,540,195.76/13,318.34
  6. Step 6: Final answer
    x = 5,746.98

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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.