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Finding the Fourth Proportional to 16,987.74, 25,492.95 and 6,467.46

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Solution

The fourth proportional to 16,987.74, 25,492.95 and 6,467.46 is: 9,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,987.74 : 25,492.95 = 6,467.46 : x
  2. Step 2: Convert to fraction form
    16,987.74/25,492.95 = 6,467.46/x
  3. Step 3: Cross multiply
    16,987.74x = 25,492.95 × 6,467.46
  4. Step 4: Simplify right side
    16,987.74x = 164,874,634.41
  5. Step 5: Solve for x
    x = 164,874,634.41/16,987.74
  6. Step 6: Final answer
    x = 9,705.51

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