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Finding the Fourth Proportional to 22,135.38, 30,547.60 and 12,064.66

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Solution

The fourth proportional to 22,135.38, 30,547.60 and 12,064.66 is: 16,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135.38 : 30,547.60 = 12,064.66 : x
  2. Step 2: Convert to fraction form
    22,135.38/30,547.60 = 12,064.66/x
  3. Step 3: Cross multiply
    22,135.38x = 30,547.60 × 12,064.66
  4. Step 4: Simplify right side
    22,135.38x = 368,546,407.82
  5. Step 5: Solve for x
    x = 368,546,407.82/22,135.38
  6. Step 6: Final answer
    x = 16,649.65

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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.