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Finding the Fourth Proportional to 16,459.04, 22,713.84 and 9,384.80

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Solution

The fourth proportional to 16,459.04, 22,713.84 and 9,384.80 is: 12,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.04 : 22,713.84 = 9,384.80 : x
  2. Step 2: Convert to fraction form
    16,459.04/22,713.84 = 9,384.80/x
  3. Step 3: Cross multiply
    16,459.04x = 22,713.84 × 9,384.80
  4. Step 4: Simplify right side
    16,459.04x = 213,164,845.63
  5. Step 5: Solve for x
    x = 213,164,845.63/16,459.04
  6. Step 6: Final answer
    x = 12,951.23

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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.