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Finding the Fourth Proportional to 25,536, 35,239.68 and 14,358

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Solution

The fourth proportional to 25,536, 35,239.68 and 14,358 is: 19,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536 : 35,239.68 = 14,358 : x
  2. Step 2: Convert to fraction form
    25,536/35,239.68 = 14,358/x
  3. Step 3: Cross multiply
    25,536x = 35,239.68 × 14,358
  4. Step 4: Simplify right side
    25,536x = 505,971,325.44
  5. Step 5: Solve for x
    x = 505,971,325.44/25,536
  6. Step 6: Final answer
    x = 19,814.04

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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.