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Finding the Fourth Proportional to 25,546, 35,255.10 and 14,368

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Solution

The fourth proportional to 25,546, 35,255.10 and 14,368 is: 19,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,546 : 35,255.10 = 14,368 : x
  2. Step 2: Convert to fraction form
    25,546/35,255.10 = 14,368/x
  3. Step 3: Cross multiply
    25,546x = 35,255.10 × 14,368
  4. Step 4: Simplify right side
    25,546x = 506,545,276.80
  5. Step 5: Solve for x
    x = 506,545,276.80/25,546
  6. Step 6: Final answer
    x = 19,828.75

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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.