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Finding the Fourth Proportional to 13,209.48, 19,793.16 and 9,683.16

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Solution

The fourth proportional to 13,209.48, 19,793.16 and 9,683.16 is: 14,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.48 : 19,793.16 = 9,683.16 : x
  2. Step 2: Convert to fraction form
    13,209.48/19,793.16 = 9,683.16/x
  3. Step 3: Cross multiply
    13,209.48x = 19,793.16 × 9,683.16
  4. Step 4: Simplify right side
    13,209.48x = 191,660,335.19
  5. Step 5: Solve for x
    x = 191,660,335.19/13,209.48
  6. Step 6: Final answer
    x = 14,509.30

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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.