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Finding the Fourth Proportional to 13,109.20, 19,663.80 and 11,813.20

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Solution

The fourth proportional to 13,109.20, 19,663.80 and 11,813.20 is: 17,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.20 : 19,663.80 = 11,813.20 : x
  2. Step 2: Convert to fraction form
    13,109.20/19,663.80 = 11,813.20/x
  3. Step 3: Cross multiply
    13,109.20x = 19,663.80 × 11,813.20
  4. Step 4: Simplify right side
    13,109.20x = 232,292,402.16
  5. Step 5: Solve for x
    x = 232,292,402.16/13,109.20
  6. Step 6: Final answer
    x = 17,719.80

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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.