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Finding the Fourth Proportional to 25,454, 35,126.54 and 14,276

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Solution

The fourth proportional to 25,454, 35,126.54 and 14,276 is: 19,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,454 : 35,126.54 = 14,276 : x
  2. Step 2: Convert to fraction form
    25,454/35,126.54 = 14,276/x
  3. Step 3: Cross multiply
    25,454x = 35,126.54 × 14,276
  4. Step 4: Simplify right side
    25,454x = 501,466,485.04
  5. Step 5: Solve for x
    x = 501,466,485.04/25,454
  6. Step 6: Final answer
    x = 19,700.89

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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.