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Finding the Fourth Proportional to 12,026.51, 16,595.15 and 6,648.22

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Solution

The fourth proportional to 12,026.51, 16,595.15 and 6,648.22 is: 9,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.51 : 16,595.15 = 6,648.22 : x
  2. Step 2: Convert to fraction form
    12,026.51/16,595.15 = 6,648.22/x
  3. Step 3: Cross multiply
    12,026.51x = 16,595.15 × 6,648.22
  4. Step 4: Simplify right side
    12,026.51x = 110,328,216.38
  5. Step 5: Solve for x
    x = 110,328,216.38/12,026.51
  6. Step 6: Final answer
    x = 9,173.75

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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.