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Finding the Fourth Proportional to 22,075.70, 30,464.12 and 12,004.34

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Solution

The fourth proportional to 22,075.70, 30,464.12 and 12,004.34 is: 16,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,075.70 : 30,464.12 = 12,004.34 : x
  2. Step 2: Convert to fraction form
    22,075.70/30,464.12 = 12,004.34/x
  3. Step 3: Cross multiply
    22,075.70x = 30,464.12 × 12,004.34
  4. Step 4: Simplify right side
    22,075.70x = 365,701,654.28
  5. Step 5: Solve for x
    x = 365,701,654.28/22,075.70
  6. Step 6: Final answer
    x = 16,565.80

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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.