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Finding the Fourth Proportional to 13,319.76, 19,968.12 and 5,106

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Solution

The fourth proportional to 13,319.76, 19,968.12 and 5,106 is: 7,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,319.76 : 19,968.12 = 5,106 : x
  2. Step 2: Convert to fraction form
    13,319.76/19,968.12 = 5,106/x
  3. Step 3: Cross multiply
    13,319.76x = 19,968.12 × 5,106
  4. Step 4: Simplify right side
    13,319.76x = 101,957,220.72
  5. Step 5: Solve for x
    x = 101,957,220.72/13,319.76
  6. Step 6: Final answer
    x = 7,654.58

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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.