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Finding the Fourth Proportional to 13,660.13, 20,498.15 and 5,762.15

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Solution

The fourth proportional to 13,660.13, 20,498.15 and 5,762.15 is: 8,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.13 : 20,498.15 = 5,762.15 : x
  2. Step 2: Convert to fraction form
    13,660.13/20,498.15 = 5,762.15/x
  3. Step 3: Cross multiply
    13,660.13x = 20,498.15 × 5,762.15
  4. Step 4: Simplify right side
    13,660.13x = 118,113,415.02
  5. Step 5: Solve for x
    x = 118,113,415.02/13,660.13
  6. Step 6: Final answer
    x = 8,646.58

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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.