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Finding the Fourth Proportional to 16,001.34, 22,075.92 and 9,285.90

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Solution

The fourth proportional to 16,001.34, 22,075.92 and 9,285.90 is: 12,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.34 : 22,075.92 = 9,285.90 : x
  2. Step 2: Convert to fraction form
    16,001.34/22,075.92 = 9,285.90/x
  3. Step 3: Cross multiply
    16,001.34x = 22,075.92 × 9,285.90
  4. Step 4: Simplify right side
    16,001.34x = 204,994,785.53
  5. Step 5: Solve for x
    x = 204,994,785.53/16,001.34
  6. Step 6: Final answer
    x = 12,811.10

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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.