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Finding the Fourth Proportional to 25,946, 35,805.52 and 14,768

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Solution

The fourth proportional to 25,946, 35,805.52 and 14,768 is: 20,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,946 : 35,805.52 = 14,768 : x
  2. Step 2: Convert to fraction form
    25,946/35,805.52 = 14,768/x
  3. Step 3: Cross multiply
    25,946x = 35,805.52 × 14,768
  4. Step 4: Simplify right side
    25,946x = 528,775,919.36
  5. Step 5: Solve for x
    x = 528,775,919.36/25,946
  6. Step 6: Final answer
    x = 20,379.86

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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.