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Finding the Fourth Proportional to 17,492.72, 24,150 and 11,522.20

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Solution

The fourth proportional to 17,492.72, 24,150 and 11,522.20 is: 15,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,492.72 : 24,150 = 11,522.20 : x
  2. Step 2: Convert to fraction form
    17,492.72/24,150 = 11,522.20/x
  3. Step 3: Cross multiply
    17,492.72x = 24,150 × 11,522.20
  4. Step 4: Simplify right side
    17,492.72x = 278,261,130
  5. Step 5: Solve for x
    x = 278,261,130/17,492.72
  6. Step 6: Final answer
    x = 15,907.25

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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.