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Finding the Fourth Proportional to 16,527, 22,807.32 and 9,075

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Solution

The fourth proportional to 16,527, 22,807.32 and 9,075 is: 12,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527 : 22,807.32 = 9,075 : x
  2. Step 2: Convert to fraction form
    16,527/22,807.32 = 9,075/x
  3. Step 3: Cross multiply
    16,527x = 22,807.32 × 9,075
  4. Step 4: Simplify right side
    16,527x = 206,976,429
  5. Step 5: Solve for x
    x = 206,976,429/16,527
  6. Step 6: Final answer
    x = 12,523.53

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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.