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Finding the Fourth Proportional to 13,078.80, 19,618.20 and 5,686.80

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Solution

The fourth proportional to 13,078.80, 19,618.20 and 5,686.80 is: 8,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.80 : 19,618.20 = 5,686.80 : x
  2. Step 2: Convert to fraction form
    13,078.80/19,618.20 = 5,686.80/x
  3. Step 3: Cross multiply
    13,078.80x = 19,618.20 × 5,686.80
  4. Step 4: Simplify right side
    13,078.80x = 111,564,779.76
  5. Step 5: Solve for x
    x = 111,564,779.76/13,078.80
  6. Step 6: Final answer
    x = 8,530.20

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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.