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Finding the Fourth Proportional to 19,323.64, 26,664.30 and 10,826.20

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Solution

The fourth proportional to 19,323.64, 26,664.30 and 10,826.20 is: 14,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,323.64 : 26,664.30 = 10,826.20 : x
  2. Step 2: Convert to fraction form
    19,323.64/26,664.30 = 10,826.20/x
  3. Step 3: Cross multiply
    19,323.64x = 26,664.30 × 10,826.20
  4. Step 4: Simplify right side
    19,323.64x = 288,673,044.66
  5. Step 5: Solve for x
    x = 288,673,044.66/19,323.64
  6. Step 6: Final answer
    x = 14,938.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.