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Finding the Fourth Proportional to 25,637.88, 38,460.24 and 8,994

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Solution

The fourth proportional to 25,637.88, 38,460.24 and 8,994 is: 13,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,637.88 : 38,460.24 = 8,994 : x
  2. Step 2: Convert to fraction form
    25,637.88/38,460.24 = 8,994/x
  3. Step 3: Cross multiply
    25,637.88x = 38,460.24 × 8,994
  4. Step 4: Simplify right side
    25,637.88x = 345,911,398.56
  5. Step 5: Solve for x
    x = 345,911,398.56/25,637.88
  6. Step 6: Final answer
    x = 13,492.20

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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.