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Finding the Fourth Proportional to 16,692.65, 23,038.38 and 9,522.53

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Solution

The fourth proportional to 16,692.65, 23,038.38 and 9,522.53 is: 13,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,692.65 : 23,038.38 = 9,522.53 : x
  2. Step 2: Convert to fraction form
    16,692.65/23,038.38 = 9,522.53/x
  3. Step 3: Cross multiply
    16,692.65x = 23,038.38 × 9,522.53
  4. Step 4: Simplify right side
    16,692.65x = 219,383,549.51
  5. Step 5: Solve for x
    x = 219,383,549.51/16,692.65
  6. Step 6: Final answer
    x = 13,142.53

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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.