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Finding the Fourth Proportional to 13,301.60, 19,923.60 and 8,117.60

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Solution

The fourth proportional to 13,301.60, 19,923.60 and 8,117.60 is: 12,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301.60 : 19,923.60 = 8,117.60 : x
  2. Step 2: Convert to fraction form
    13,301.60/19,923.60 = 8,117.60/x
  3. Step 3: Cross multiply
    13,301.60x = 19,923.60 × 8,117.60
  4. Step 4: Simplify right side
    13,301.60x = 161,731,815.36
  5. Step 5: Solve for x
    x = 161,731,815.36/13,301.60
  6. Step 6: Final answer
    x = 12,158.82

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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.