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Finding the Fourth Proportional to 25,702.08, 35,468.72 and 13,926.08

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Solution

The fourth proportional to 25,702.08, 35,468.72 and 13,926.08 is: 19,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.08 : 35,468.72 = 13,926.08 : x
  2. Step 2: Convert to fraction form
    25,702.08/35,468.72 = 13,926.08/x
  3. Step 3: Cross multiply
    25,702.08x = 35,468.72 × 13,926.08
  4. Step 4: Simplify right side
    25,702.08x = 493,940,232.22
  5. Step 5: Solve for x
    x = 493,940,232.22/25,702.08
  6. Step 6: Final answer
    x = 19,217.91

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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.