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Finding the Fourth Proportional to 12,412.48, 17,129.60 and 6,823.52

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Solution

The fourth proportional to 12,412.48, 17,129.60 and 6,823.52 is: 9,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.48 : 17,129.60 = 6,823.52 : x
  2. Step 2: Convert to fraction form
    12,412.48/17,129.60 = 6,823.52/x
  3. Step 3: Cross multiply
    12,412.48x = 17,129.60 × 6,823.52
  4. Step 4: Simplify right side
    12,412.48x = 116,884,168.19
  5. Step 5: Solve for x
    x = 116,884,168.19/12,412.48
  6. Step 6: Final answer
    x = 9,416.67

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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.