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Finding the Fourth Proportional to 13,077.76, 19,630.68 and 5,291.68

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Solution

The fourth proportional to 13,077.76, 19,630.68 and 5,291.68 is: 7,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.76 : 19,630.68 = 5,291.68 : x
  2. Step 2: Convert to fraction form
    13,077.76/19,630.68 = 5,291.68/x
  3. Step 3: Cross multiply
    13,077.76x = 19,630.68 × 5,291.68
  4. Step 4: Simplify right side
    13,077.76x = 103,879,276.74
  5. Step 5: Solve for x
    x = 103,879,276.74/13,077.76
  6. Step 6: Final answer
    x = 7,943.20

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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.