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Finding the Fourth Proportional to 12,602.28, 17,385.66 and 8,826.06

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Solution

The fourth proportional to 12,602.28, 17,385.66 and 8,826.06 is: 12,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.28 : 17,385.66 = 8,826.06 : x
  2. Step 2: Convert to fraction form
    12,602.28/17,385.66 = 8,826.06/x
  3. Step 3: Cross multiply
    12,602.28x = 17,385.66 × 8,826.06
  4. Step 4: Simplify right side
    12,602.28x = 153,446,878.30
  5. Step 5: Solve for x
    x = 153,446,878.30/12,602.28
  6. Step 6: Final answer
    x = 12,176.12

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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.