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Finding the Fourth Proportional to 14,946.72, 20,608.20 and 9,348

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Solution

The fourth proportional to 14,946.72, 20,608.20 and 9,348 is: 12,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.72 : 20,608.20 = 9,348 : x
  2. Step 2: Convert to fraction form
    14,946.72/20,608.20 = 9,348/x
  3. Step 3: Cross multiply
    14,946.72x = 20,608.20 × 9,348
  4. Step 4: Simplify right side
    14,946.72x = 192,645,453.60
  5. Step 5: Solve for x
    x = 192,645,453.60/14,946.72
  6. Step 6: Final answer
    x = 12,888.81

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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.