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Finding the Fourth Proportional to 14,689.77, 22,026.38 and 4,826.40

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Solution

The fourth proportional to 14,689.77, 22,026.38 and 4,826.40 is: 7,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.77 : 22,026.38 = 4,826.40 : x
  2. Step 2: Convert to fraction form
    14,689.77/22,026.38 = 4,826.40/x
  3. Step 3: Cross multiply
    14,689.77x = 22,026.38 × 4,826.40
  4. Step 4: Simplify right side
    14,689.77x = 106,308,096.30
  5. Step 5: Solve for x
    x = 106,308,096.30/14,689.77
  6. Step 6: Final answer
    x = 7,236.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.