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Finding the Fourth Proportional to 18,492, 25,519.50 and 10,109.04

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Solution

The fourth proportional to 18,492, 25,519.50 and 10,109.04 is: 13,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,492 : 25,519.50 = 10,109.04 : x
  2. Step 2: Convert to fraction form
    18,492/25,519.50 = 10,109.04/x
  3. Step 3: Cross multiply
    18,492x = 25,519.50 × 10,109.04
  4. Step 4: Simplify right side
    18,492x = 257,977,646.28
  5. Step 5: Solve for x
    x = 257,977,646.28/18,492
  6. Step 6: Final answer
    x = 13,950.77

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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.