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Finding the Fourth Proportional to 22,075.38, 30,463.65 and 12,003.72

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Solution

The fourth proportional to 22,075.38, 30,463.65 and 12,003.72 is: 16,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,075.38 : 30,463.65 = 12,003.72 : x
  2. Step 2: Convert to fraction form
    22,075.38/30,463.65 = 12,003.72/x
  3. Step 3: Cross multiply
    22,075.38x = 30,463.65 × 12,003.72
  4. Step 4: Simplify right side
    22,075.38x = 365,677,124.78
  5. Step 5: Solve for x
    x = 365,677,124.78/22,075.38
  6. Step 6: Final answer
    x = 16,564.93

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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.