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Finding the Fourth Proportional to 25,788, 35,587.44 and 14,610

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Solution

The fourth proportional to 25,788, 35,587.44 and 14,610 is: 20,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,788 : 35,587.44 = 14,610 : x
  2. Step 2: Convert to fraction form
    25,788/35,587.44 = 14,610/x
  3. Step 3: Cross multiply
    25,788x = 35,587.44 × 14,610
  4. Step 4: Simplify right side
    25,788x = 519,932,498.40
  5. Step 5: Solve for x
    x = 519,932,498.40/25,788
  6. Step 6: Final answer
    x = 20,161.80

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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.