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Finding the Fourth Proportional to 25,455, 35,128.08 and 14,277

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Solution

The fourth proportional to 25,455, 35,128.08 and 14,277 is: 19,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,455 : 35,128.08 = 14,277 : x
  2. Step 2: Convert to fraction form
    25,455/35,128.08 = 14,277/x
  3. Step 3: Cross multiply
    25,455x = 35,128.08 × 14,277
  4. Step 4: Simplify right side
    25,455x = 501,523,598.16
  5. Step 5: Solve for x
    x = 501,523,598.16/25,455
  6. Step 6: Final answer
    x = 19,702.36

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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.