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Finding the Fourth Proportional to 15,692.42, 23,518.61 and 7,354.04

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Solution

The fourth proportional to 15,692.42, 23,518.61 and 7,354.04 is: 11,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.42 : 23,518.61 = 7,354.04 : x
  2. Step 2: Convert to fraction form
    15,692.42/23,518.61 = 7,354.04/x
  3. Step 3: Cross multiply
    15,692.42x = 23,518.61 × 7,354.04
  4. Step 4: Simplify right side
    15,692.42x = 172,956,721.50
  5. Step 5: Solve for x
    x = 172,956,721.50/15,692.42
  6. Step 6: Final answer
    x = 11,021.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.