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Finding the Fourth Proportional to 13,114.71, 19,654.79 and 5,319.27

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Solution

The fourth proportional to 13,114.71, 19,654.79 and 5,319.27 is: 7,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.71 : 19,654.79 = 5,319.27 : x
  2. Step 2: Convert to fraction form
    13,114.71/19,654.79 = 5,319.27/x
  3. Step 3: Cross multiply
    13,114.71x = 19,654.79 × 5,319.27
  4. Step 4: Simplify right side
    13,114.71x = 104,549,108.21
  5. Step 5: Solve for x
    x = 104,549,108.21/13,114.71
  6. Step 6: Final answer
    x = 7,971.90

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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.