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Finding the Fourth Proportional to 12,814.96, 17,683.36 and 9,459.60

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Solution

The fourth proportional to 12,814.96, 17,683.36 and 9,459.60 is: 13,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.96 : 17,683.36 = 9,459.60 : x
  2. Step 2: Convert to fraction form
    12,814.96/17,683.36 = 9,459.60/x
  3. Step 3: Cross multiply
    12,814.96x = 17,683.36 × 9,459.60
  4. Step 4: Simplify right side
    12,814.96x = 167,277,512.26
  5. Step 5: Solve for x
    x = 167,277,512.26/12,814.96
  6. Step 6: Final answer
    x = 13,053.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.