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Finding the Fourth Proportional to 12,207.92, 16,823 and 9,975.60

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Solution

The fourth proportional to 12,207.92, 16,823 and 9,975.60 is: 13,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.92 : 16,823 = 9,975.60 : x
  2. Step 2: Convert to fraction form
    12,207.92/16,823 = 9,975.60/x
  3. Step 3: Cross multiply
    12,207.92x = 16,823 × 9,975.60
  4. Step 4: Simplify right side
    12,207.92x = 167,819,518.80
  5. Step 5: Solve for x
    x = 167,819,518.80/12,207.92
  6. Step 6: Final answer
    x = 13,746.77

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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.