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Finding the Fourth Proportional to 16,534.20, 22,817.12 and 8,980.47

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Solution

The fourth proportional to 16,534.20, 22,817.12 and 8,980.47 is: 12,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.20 : 22,817.12 = 8,980.47 : x
  2. Step 2: Convert to fraction form
    16,534.20/22,817.12 = 8,980.47/x
  3. Step 3: Cross multiply
    16,534.20x = 22,817.12 × 8,980.47
  4. Step 4: Simplify right side
    16,534.20x = 204,908,416.74
  5. Step 5: Solve for x
    x = 204,908,416.74/16,534.20
  6. Step 6: Final answer
    x = 12,393.00

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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.