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Finding the Fourth Proportional to 14,701.44, 20,289.92 and 8,416

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Solution

The fourth proportional to 14,701.44, 20,289.92 and 8,416 is: 11,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.44 : 20,289.92 = 8,416 : x
  2. Step 2: Convert to fraction form
    14,701.44/20,289.92 = 8,416/x
  3. Step 3: Cross multiply
    14,701.44x = 20,289.92 × 8,416
  4. Step 4: Simplify right side
    14,701.44x = 170,759,966.72
  5. Step 5: Solve for x
    x = 170,759,966.72/14,701.44
  6. Step 6: Final answer
    x = 11,615.19

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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.