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Finding the Fourth Proportional to 16,221.63, 22,385.80 and 9,148.01

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Solution

The fourth proportional to 16,221.63, 22,385.80 and 9,148.01 is: 12,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.63 : 22,385.80 = 9,148.01 : x
  2. Step 2: Convert to fraction form
    16,221.63/22,385.80 = 9,148.01/x
  3. Step 3: Cross multiply
    16,221.63x = 22,385.80 × 9,148.01
  4. Step 4: Simplify right side
    16,221.63x = 204,785,421.76
  5. Step 5: Solve for x
    x = 204,785,421.76/16,221.63
  6. Step 6: Final answer
    x = 12,624.22

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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.