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Finding the Fourth Proportional to 16,179.64, 22,328.70 and 9,106.84

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Solution

The fourth proportional to 16,179.64, 22,328.70 and 9,106.84 is: 12,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.64 : 22,328.70 = 9,106.84 : x
  2. Step 2: Convert to fraction form
    16,179.64/22,328.70 = 9,106.84/x
  3. Step 3: Cross multiply
    16,179.64x = 22,328.70 × 9,106.84
  4. Step 4: Simplify right side
    16,179.64x = 203,343,898.31
  5. Step 5: Solve for x
    x = 203,343,898.31/16,179.64
  6. Step 6: Final answer
    x = 12,567.89

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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.