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Finding the Fourth Proportional to 22,005, 30,368.34 and 12,069

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Solution

The fourth proportional to 22,005, 30,368.34 and 12,069 is: 16,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005 : 30,368.34 = 12,069 : x
  2. Step 2: Convert to fraction form
    22,005/30,368.34 = 12,069/x
  3. Step 3: Cross multiply
    22,005x = 30,368.34 × 12,069
  4. Step 4: Simplify right side
    22,005x = 366,515,495.46
  5. Step 5: Solve for x
    x = 366,515,495.46/22,005
  6. Step 6: Final answer
    x = 16,656.01

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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.