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Finding the Fourth Proportional to 21,357.40, 32,029.95 and 8,026.27

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Solution

The fourth proportional to 21,357.40, 32,029.95 and 8,026.27 is: 12,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.40 : 32,029.95 = 8,026.27 : x
  2. Step 2: Convert to fraction form
    21,357.40/32,029.95 = 8,026.27/x
  3. Step 3: Cross multiply
    21,357.40x = 32,029.95 × 8,026.27
  4. Step 4: Simplify right side
    21,357.40x = 257,080,826.51
  5. Step 5: Solve for x
    x = 257,080,826.51/21,357.40
  6. Step 6: Final answer
    x = 12,037.08

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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.