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Finding the Fourth Proportional to 25,492, 38,230.70 and 10,704.24

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Solution

The fourth proportional to 25,492, 38,230.70 and 10,704.24 is: 16,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,492 : 38,230.70 = 10,704.24 : x
  2. Step 2: Convert to fraction form
    25,492/38,230.70 = 10,704.24/x
  3. Step 3: Cross multiply
    25,492x = 38,230.70 × 10,704.24
  4. Step 4: Simplify right side
    25,492x = 409,230,588.17
  5. Step 5: Solve for x
    x = 409,230,588.17/25,492
  6. Step 6: Final answer
    x = 16,053.29

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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.