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Finding the Fourth Proportional to 25,810.94, 38,714.52 and 8,276.06

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Solution

The fourth proportional to 25,810.94, 38,714.52 and 8,276.06 is: 12,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,810.94 : 38,714.52 = 8,276.06 : x
  2. Step 2: Convert to fraction form
    25,810.94/38,714.52 = 8,276.06/x
  3. Step 3: Cross multiply
    25,810.94x = 38,714.52 × 8,276.06
  4. Step 4: Simplify right side
    25,810.94x = 320,403,690.39
  5. Step 5: Solve for x
    x = 320,403,690.39/25,810.94
  6. Step 6: Final answer
    x = 12,413.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.