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Finding the Fourth Proportional to 16,901.76, 23,318.70 and 10,184.88

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Solution

The fourth proportional to 16,901.76, 23,318.70 and 10,184.88 is: 14,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901.76 : 23,318.70 = 10,184.88 : x
  2. Step 2: Convert to fraction form
    16,901.76/23,318.70 = 10,184.88/x
  3. Step 3: Cross multiply
    16,901.76x = 23,318.70 × 10,184.88
  4. Step 4: Simplify right side
    16,901.76x = 237,498,161.26
  5. Step 5: Solve for x
    x = 237,498,161.26/16,901.76
  6. Step 6: Final answer
    x = 14,051.68

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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.